962:
1070:
1090:
2468:
115:
2403:
2183:
3033:
2171:
1007:. Newton described any variable that changed its value as a fluent – for example, the velocity of a ball thrown in the air. The derivative of a fluent is known as a
2371:
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2156:
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1131:
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788:
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442:
124:
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1979:
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1712:
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403:
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1465:
1443:
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961:
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201:
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1475:
821:
434:
272:
244:
34:
2746:
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2039:
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1658:
1428:
1184:
692:
656:
438:
317:
211:
206:
196:
2709:
2793:
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2024:
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2605:
2518:
1485:
297:
2588:
2193:
1964:
1512:
1251:
591:
156:
2573:
2778:
2642:
2395:
1959:
1631:
1222:
1117:
905:
697:
586:
3013:
3003:
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1969:
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2317:
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2072:
1984:
1641:
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1405:
915:
581:
472:
357:
302:
263:
169:
2525:
1448:
1069:
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2694:
2451:
2029:
1648:
1495:
1047:
920:
900:
826:
495:
419:
393:
307:
1011:, the main focus of Newton's calculus. A fluent can be found from its corresponding fluxion through
2783:
2763:
2679:
2669:
2530:
2049:
1974:
1861:
1818:
1569:
1554:
1385:
1373:
1360:
1320:
1300:
1032:
895:
865:
855:
742:
596:
398:
254:
137:
132:
2627:
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2138:
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1944:
1897:
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1733:
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747:
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641:
522:
446:
352:
347:
151:
2998:
2714:
1773:
1768:
1564:
1335:
682:
677:
146:
1158:
The Method of
Fluxions and Infinite Series: With Its Application to the Geometry of Curve-lines
2957:
2929:
2811:
2788:
2736:
2654:
2540:
2278:
2102:
2034:
1856:
1833:
1707:
1700:
1603:
1418:
1310:
1198:
934:
768:
546:
429:
382:
239:
234:
1101:
2917:
2893:
2869:
2699:
2445:
2236:
2019:
1932:
1912:
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1753:
1695:
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1621:
1534:
1295:
1290:
778:
672:
646:
507:
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388:
2905:
2674:
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2067:
1922:
1902:
1871:
1848:
1828:
1722:
1378:
1325:
910:
783:
737:
732:
619:
532:
477:
2948:
2773:
2756:
2726:
2513:
2208:
2107:
1954:
1907:
1808:
1611:
793:
601:
373:
3077:
2993:
2875:
2817:
2082:
1937:
1823:
1527:
1502:
1179:
773:
537:
292:
249:
2881:
2751:
2560:
2535:
2498:
2340:
2092:
2062:
1927:
1490:
986:
527:
277:
1156:
2899:
2508:
2387:
1340:
1282:
998:
890:
3023:
2911:
2057:
1989:
1743:
1616:
1480:
1470:
1413:
1042:
636:
560:
287:
282:
186:
2251:
1999:
1994:
1305:
1206:
1201:
565:
555:
2545:
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2246:
1748:
1626:
1274:
1012:
990:
631:
378:
335:
24:
2503:
2491:
2379:
2097:
1350:
1052:
1008:
2266:
1330:
2309:
997:. The concept was introduced by Newton in 1665 and detailed in his
1345:
1089:
2313:
1247:
1243:
1105:
1058:
37:
3047:
2984:
2939:
2862:
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2137:
2130:
2048:
2010:
1882:
1789:
1721:
1602:
1404:
1359:
1281:
109:
3034:Statal Institute of Higher Education Isaac Newton
110:{\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}
2325:
1259:
1125:
942:
8:
2332:
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2310:
2134:
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1252:
1244:
1132:
1118:
949:
935:
815:
721:
625:
501:
341:
175:
15:
2294:Regiomontanus' angle maximization problem
1161:. Henry Woodfall; and sold by John Nourse
70:
47:
42:
36:
960:
1642:Differentiating under the integral sign
1147:
1065:
755:
724:
664:
545:
473:Differentiating under the integral sign
411:
365:
262:
221:
178:
23:
2584:Newton's law of universal gravitation
1518:Inverse functions and differentiation
965:Newton's introduction of the notions
7:
2742:Newton's theorem of revolving orbits
1086:
1084:
2690:Leibniz–Newton calculus controversy
2431:standing on the shoulders of giants
1038:Leibniz–Newton calculus controversy
3057:
1316:Free variables and bound variables
1104:. You can help Knowledge (XXG) by
19:Part of a series of articles about
14:
2121:The Method of Mechanical Theorems
3019:Isaac Newton Group of Telescopes
1676:Partial fractions in integration
1592:Stochastic differential equation
1088:
1068:
3039:Newton International Fellowship
2720:generalized Gauss–Newton method
2633:Newton's method in optimization
1814:Jacobian matrix and determinant
1669:Tangent half-angle substitution
1637:Fundamental theorem of calculus
1890:Arithmetico-geometric sequence
1582:Ordinary differential equation
981:is a time-varying quantity or
104:
98:
89:
83:
67:
61:
1:
1713:Integro-differential equation
1587:Partial differential equation
404:Integral of inverse functions
3084:History of mathematics stubs
2660:Newton's theorem about ovals
3029:Sir Isaac Newton Sixth Form
2685:Corpuscular theory of light
2611:Schrödinger–Newton equation
1867:Generalized Stokes' theorem
1654:Integration by substitution
822:Calculus on Euclidean space
245:Logarithmic differentiation
3115:
2438:Notes on the Jewish Temple
1396:(ε, δ)-definition of limit
1223:"Isaac Newton (1642-1727)"
1155:Newton, Sir Isaac (1736).
1083:
993:to describe his form of a
2289:Proof that 22/7 exceeds π
2204:
2078:Gottfried Wilhelm Leibniz
2025:e (mathematical constant)
556:Summand limit (term test)
2589:post-Newtonian expansion
2469:Corruptions of Scripture
2461:Ancient Kingdoms Amended
2040:Stirling's approximation
1513:Implicit differentiation
1461:Rules of differentiation
240:Implicit differentiation
230:Differentiation notation
157:Inverse function theorem
2779:Absolute space and time
2643:truncated Newton method
2616:Newton's laws of motion
2579:Newton's law of cooling
2274:Euler–Maclaurin formula
2179:trigonometric functions
1632:Constant of integration
1185:Encyclopædia Britannica
1096:This article about the
985:. The term was used by
698:Helmholtz decomposition
3014:Isaac Newton Telescope
3004:Isaac Newton Institute
2774:Newton–Puiseux theorem
2769:Parallelogram of force
2757:kissing number problem
2747:Newton–Euler equations
2650:Gauss–Newton algorithm
2599:gravitational constant
2243:Differential geometry
2088:Infinitesimal calculus
1791:Multivariable calculus
1739:Directional derivative
1545:Second derivative test
1523:Logarithmic derivative
1496:General Leibniz's rule
1391:Order of approximation
1098:history of mathematics
974:
832:Limit of distributions
652:Directional derivative
313:FaĂ di Bruno's formula
111:
3094:Differential calculus
3089:Mathematical analysis
2968:Isaac Newton Gargoyle
2878: (nephew-in-law)
2854:Copernican Revolution
2849:Scientific Revolution
2710:Newton–Cotes formulas
2574:Newton's inequalities
2551:Structural coloration
2162:logarithmic functions
2157:exponential functions
2073:Generality of algebra
1951:Tests of convergence
1577:Differential equation
1561:Further applications
1550:Extreme value theorem
1540:First derivative test
1434:Differential operator
1406:Differential calculus
964:
916:Mathematical analysis
827:Generalized functions
512:arithmetico-geometric
358:Leibniz integral rule
112:
2975:Astronomers Monument
2665:Newton–Pepys problem
2638:Apollonius's problem
2606:Newton–Cartan theory
2519:Newton–Okounkov body
2452:hypotheses non fingo
2441: (c. 1680)
2227:Miscellaneous topics
2167:hyperbolic functions
2152:irrational functions
2030:Exponential function
1883:Sequences and series
1649:Integration by parts
1180:Fluent (mathematics)
921:Nonstandard analysis
394:Lebesgue integration
264:Rules and identities
35:
3099:History of calculus
2784:Luminiferous aether
2732:Newton's identities
2705:Newton's cannonball
2680:Classical mechanics
2670:Newtonian potential
2531:Newtonian telescope
2214:List of derivatives
2050:History of calculus
1965:Cauchy condensation
1862:Exterior derivative
1819:Lagrange multiplier
1555:Maximum and minimum
1386:Limit of a sequence
1374:Limit of a function
1321:Graph of a function
1301:Continuous function
1033:History of calculus
592:Cauchy condensation
399:Contour integration
125:Fundamental theorem
52:
3009:Isaac Newton Medal
2814: (birthplace)
2628:Newtonian dynamics
2526:Newton's reflector
2147:rational functions
2114:Method of Fluxions
1960:Alternating series
1857:Differential forms
1839:Partial derivative
1799:Divergence theorem
1681:Quadratic integral
1449:Leibniz's notation
1439:Mean value theorem
1424:Partial derivative
1369:Indeterminate form
1199:Weisstein, Eric W.
1027:Method of Fluxions
1004:Method of Fluxions
975:
764:Partial derivative
693:generalized Stokes
587:Alternating series
468:Reduction formulae
443:tangent half-angle
430:Cylindrical shells
353:Integral transform
348:Lists of integrals
152:Mean value theorem
107:
38:
3071:
3070:
2963: (sculpture)
2930:Abraham de Moivre
2884: (professor)
2812:Woolsthorpe Manor
2764:Newton's quotient
2737:Newton polynomial
2695:Newton's notation
2426: (1661–1665)
2307:
2306:
2233:Complex calculus
2222:
2221:
2103:Law of Continuity
2035:Natural logarithm
2020:Bernoulli numbers
2011:Special functions
1970:Direct comparison
1834:Multiple integral
1708:Integral equation
1604:Integral calculus
1535:Stationary points
1509:Other techniques
1454:Newton's notation
1419:Second derivative
1311:Finite difference
1113:
1112:
1048:Newton's notation
959:
958:
839:
838:
801:
800:
769:Multiple integral
705:
704:
609:
608:
576:Direct comparison
547:Convergence tests
485:
484:
458:Partial fractions
325:
324:
235:Second derivative
3106:
3059:
2954: (monotype)
2918:William Stukeley
2914: (disciple)
2894:Benjamin Pulleyn
2870:Catherine Barton
2789:Newtonian series
2700:Rotating spheres
2446:General Scholium
2341:Sir Isaac Newton
2334:
2327:
2320:
2311:
2237:Contour integral
2135:
1985:Limit comparison
1894:Types of series
1853:Advanced topics
1844:Surface integral
1688:Trapezoidal rule
1627:Basic properties
1622:Riemann integral
1570:Taylor's theorem
1296:Concave function
1291:Binomial theorem
1268:
1261:
1254:
1245:
1238:
1237:
1235:
1233:
1219:
1213:
1212:
1211:
1194:
1188:
1177:
1171:
1170:
1168:
1166:
1152:
1134:
1127:
1120:
1092:
1085:
1073:
1072:
1064:
973:in his 1736 book
951:
944:
937:
885:
850:
816:
812:
779:Surface integral
722:
718:
626:
622:
582:Limit comparison
502:
498:
389:Riemann integral
342:
338:
298:L'HĂ´pital's rule
255:Taylor's theorem
176:
172:
116:
114:
113:
108:
60:
51:
46:
16:
3114:
3113:
3109:
3108:
3107:
3105:
3104:
3103:
3074:
3073:
3072:
3067:
3066:
3065:
3064:
3063:
3056:
3043:
2999:Newton's cradle
2980:
2935:
2908: (student)
2906:William Whiston
2902: (student)
2858:
2839:Religious views
2800:
2715:Newton's method
2675:Newtonian fluid
2569:Bucket argument
2555:
2475:
2410:
2343:
2338:
2308:
2303:
2299:Steinmetz solid
2284:Integration Bee
2218:
2200:
2126:
2068:Colin Maclaurin
2044:
2012:
2006:
1878:
1872:Tensor calculus
1849:Volume integral
1785:
1760:Basic theorems
1723:Vector calculus
1717:
1598:
1565:Newton's method
1400:
1379:One-sided limit
1355:
1336:Rolle's theorem
1326:Linear function
1277:
1272:
1242:
1241:
1231:
1229:
1221:
1220:
1216:
1197:
1196:
1195:
1191:
1178:
1174:
1164:
1162:
1154:
1153:
1149:
1144:
1139:
1138:
1081:
1079:
1067:
1059:
1057:
1021:
955:
926:
925:
911:Integration Bee
886:
883:
876:
875:
851:
848:
841:
840:
813:
810:
803:
802:
784:Volume integral
719:
714:
707:
706:
623:
618:
611:
610:
580:
499:
494:
487:
486:
478:Risch algorithm
453:Euler's formula
339:
334:
327:
326:
308:General Leibniz
191:generalizations
173:
168:
161:
147:Rolle's theorem
142:
117:
53:
33:
32:
12:
11:
5:
3112:
3110:
3102:
3101:
3096:
3091:
3086:
3076:
3075:
3069:
3068:
3055:
3054:
3053:
3052:
3051:
3049:
3045:
3044:
3042:
3041:
3036:
3031:
3026:
3021:
3016:
3011:
3006:
3001:
2996:
2990:
2988:
2982:
2981:
2979:
2978:
2971:
2964:
2955:
2945:
2943:
2937:
2936:
2934:
2933:
2932: (friend)
2927:
2926: (friend)
2921:
2920: (friend)
2915:
2909:
2903:
2897:
2891:
2890: (mentor)
2888:William Clarke
2885:
2879:
2873:
2866:
2864:
2860:
2859:
2857:
2856:
2851:
2846:
2844:Occult studies
2841:
2836:
2831:
2826:
2821:
2815:
2808:
2806:
2802:
2801:
2799:
2798:
2797:
2796:
2786:
2781:
2776:
2771:
2766:
2761:
2760:
2759:
2749:
2744:
2739:
2734:
2729:
2727:Newton fractal
2724:
2723:
2722:
2712:
2707:
2702:
2697:
2692:
2687:
2682:
2677:
2672:
2667:
2662:
2657:
2655:Newton's rings
2652:
2647:
2646:
2645:
2640:
2630:
2625:
2624:
2623:
2613:
2608:
2603:
2602:
2601:
2596:
2591:
2581:
2576:
2571:
2565:
2563:
2557:
2556:
2554:
2553:
2548:
2543:
2541:Newton's metal
2538:
2533:
2528:
2523:
2522:
2521:
2514:Newton polygon
2511:
2506:
2501:
2496:
2495:
2494:
2483:
2481:
2477:
2476:
2474:
2473:
2465:
2457:
2448:" (1713;
2442:
2434:
2427:
2418:
2416:
2415:Other writings
2412:
2411:
2409:
2408:
2400:
2392:
2384:
2376:
2368:
2360:
2351:
2349:
2345:
2344:
2339:
2337:
2336:
2329:
2322:
2314:
2305:
2304:
2302:
2301:
2296:
2291:
2286:
2281:
2279:Gabriel's horn
2276:
2271:
2270:
2269:
2264:
2259:
2254:
2249:
2241:
2240:
2239:
2230:
2228:
2224:
2223:
2220:
2219:
2217:
2216:
2211:
2209:List of limits
2205:
2202:
2201:
2199:
2198:
2197:
2196:
2191:
2186:
2176:
2175:
2174:
2164:
2159:
2154:
2149:
2143:
2141:
2132:
2128:
2127:
2125:
2124:
2117:
2110:
2108:Leonhard Euler
2105:
2100:
2095:
2090:
2085:
2080:
2075:
2070:
2065:
2060:
2054:
2052:
2046:
2045:
2043:
2042:
2037:
2032:
2027:
2022:
2016:
2014:
2008:
2007:
2005:
2004:
2003:
2002:
1997:
1992:
1987:
1982:
1977:
1972:
1967:
1962:
1957:
1949:
1948:
1947:
1942:
1941:
1940:
1935:
1925:
1920:
1915:
1910:
1905:
1900:
1892:
1886:
1884:
1880:
1879:
1877:
1876:
1875:
1874:
1869:
1864:
1859:
1851:
1846:
1841:
1836:
1831:
1826:
1821:
1816:
1811:
1809:Hessian matrix
1806:
1801:
1795:
1793:
1787:
1786:
1784:
1783:
1782:
1781:
1776:
1771:
1766:
1764:Line integrals
1758:
1757:
1756:
1751:
1746:
1741:
1736:
1727:
1725:
1719:
1718:
1716:
1715:
1710:
1705:
1704:
1703:
1698:
1690:
1685:
1684:
1683:
1673:
1672:
1671:
1666:
1661:
1651:
1646:
1645:
1644:
1634:
1629:
1624:
1619:
1614:
1612:Antiderivative
1608:
1606:
1600:
1599:
1597:
1596:
1595:
1594:
1589:
1584:
1574:
1573:
1572:
1567:
1559:
1558:
1557:
1552:
1547:
1542:
1532:
1531:
1530:
1525:
1520:
1515:
1507:
1506:
1505:
1500:
1499:
1498:
1488:
1483:
1478:
1473:
1468:
1458:
1457:
1456:
1451:
1441:
1436:
1431:
1426:
1421:
1416:
1410:
1408:
1402:
1401:
1399:
1398:
1393:
1388:
1383:
1382:
1381:
1371:
1365:
1363:
1357:
1356:
1354:
1353:
1348:
1343:
1338:
1333:
1328:
1323:
1318:
1313:
1308:
1303:
1298:
1293:
1287:
1285:
1279:
1278:
1273:
1271:
1270:
1263:
1256:
1248:
1240:
1239:
1214:
1189:
1172:
1146:
1145:
1143:
1140:
1137:
1136:
1129:
1122:
1114:
1111:
1110:
1093:
1078:
1077:
1056:
1055:
1050:
1045:
1040:
1035:
1030:
1022:
1020:
1017:
957:
956:
954:
953:
946:
939:
931:
928:
927:
924:
923:
918:
913:
908:
906:List of topics
903:
898:
893:
887:
882:
881:
878:
877:
874:
873:
868:
863:
858:
852:
847:
846:
843:
842:
837:
836:
835:
834:
829:
824:
814:
809:
808:
805:
804:
799:
798:
797:
796:
791:
786:
781:
776:
771:
766:
758:
757:
753:
752:
751:
750:
745:
740:
735:
727:
726:
720:
713:
712:
709:
708:
703:
702:
701:
700:
695:
690:
685:
680:
675:
667:
666:
662:
661:
660:
659:
654:
649:
644:
639:
634:
624:
617:
616:
613:
612:
607:
606:
605:
604:
599:
594:
589:
584:
578:
573:
568:
563:
558:
550:
549:
543:
542:
541:
540:
535:
530:
525:
520:
515:
500:
493:
492:
489:
488:
483:
482:
481:
480:
475:
470:
465:
463:Changing order
460:
455:
450:
432:
427:
422:
414:
413:
412:Integration by
409:
408:
407:
406:
401:
396:
391:
386:
376:
374:Antiderivative
368:
367:
363:
362:
361:
360:
355:
350:
340:
333:
332:
329:
328:
323:
322:
321:
320:
315:
310:
305:
300:
295:
290:
285:
280:
275:
267:
266:
260:
259:
258:
257:
252:
247:
242:
237:
232:
224:
223:
219:
218:
217:
216:
215:
214:
209:
204:
194:
181:
180:
174:
167:
166:
163:
162:
160:
159:
154:
149:
143:
141:
140:
135:
129:
128:
127:
119:
118:
106:
103:
100:
97:
94:
91:
88:
85:
82:
79:
76:
73:
69:
66:
63:
59:
56:
50:
45:
41:
31:
28:
27:
21:
20:
13:
10:
9:
6:
4:
3:
2:
3111:
3100:
3097:
3095:
3092:
3090:
3087:
3085:
3082:
3081:
3079:
3062:
3058:
3050:
3046:
3040:
3037:
3035:
3032:
3030:
3027:
3025:
3022:
3020:
3017:
3015:
3012:
3010:
3007:
3005:
3002:
3000:
2997:
2995:
2994:Newton (unit)
2992:
2991:
2989:
2987:
2983:
2977:
2976:
2972:
2970:
2969:
2965:
2962:
2960:
2956:
2953:
2951:
2947:
2946:
2944:
2942:
2938:
2931:
2928:
2925:
2924:William Jones
2922:
2919:
2916:
2913:
2910:
2907:
2904:
2901:
2898:
2896: (tutor)
2895:
2892:
2889:
2886:
2883:
2880:
2877:
2876:John Conduitt
2874:
2872: (niece)
2871:
2868:
2867:
2865:
2861:
2855:
2852:
2850:
2847:
2845:
2842:
2840:
2837:
2835:
2832:
2830:
2827:
2825:
2822:
2819:
2818:Cranbury Park
2816:
2813:
2810:
2809:
2807:
2805:Personal life
2803:
2795:
2792:
2791:
2790:
2787:
2785:
2782:
2780:
2777:
2775:
2772:
2770:
2767:
2765:
2762:
2758:
2755:
2754:
2753:
2752:Newton number
2750:
2748:
2745:
2743:
2740:
2738:
2735:
2733:
2730:
2728:
2725:
2721:
2718:
2717:
2716:
2713:
2711:
2708:
2706:
2703:
2701:
2698:
2696:
2693:
2691:
2688:
2686:
2683:
2681:
2678:
2676:
2673:
2671:
2668:
2666:
2663:
2661:
2658:
2656:
2653:
2651:
2648:
2644:
2641:
2639:
2636:
2635:
2634:
2631:
2629:
2626:
2622:
2621:Kepler's laws
2619:
2618:
2617:
2614:
2612:
2609:
2607:
2604:
2600:
2597:
2595:
2594:parameterized
2592:
2590:
2587:
2586:
2585:
2582:
2580:
2577:
2575:
2572:
2570:
2567:
2566:
2564:
2562:
2558:
2552:
2549:
2547:
2544:
2542:
2539:
2537:
2534:
2532:
2529:
2527:
2524:
2520:
2517:
2516:
2515:
2512:
2510:
2507:
2505:
2502:
2500:
2497:
2493:
2490:
2489:
2488:
2485:
2484:
2482:
2480:Contributions
2478:
2471:
2470:
2466:
2463:
2462:
2458:
2455:
2453:
2447:
2443:
2440:
2439:
2435:
2433:" (1675)
2432:
2428:
2425:
2424:
2420:
2419:
2417:
2413:
2406:
2405:
2401:
2398:
2397:
2393:
2390:
2389:
2385:
2382:
2381:
2377:
2374:
2373:
2369:
2366:
2365:
2361:
2358:
2357:
2353:
2352:
2350:
2346:
2342:
2335:
2330:
2328:
2323:
2321:
2316:
2315:
2312:
2300:
2297:
2295:
2292:
2290:
2287:
2285:
2282:
2280:
2277:
2275:
2272:
2268:
2265:
2263:
2260:
2258:
2255:
2253:
2250:
2248:
2245:
2244:
2242:
2238:
2235:
2234:
2232:
2231:
2229:
2225:
2215:
2212:
2210:
2207:
2206:
2203:
2195:
2192:
2190:
2187:
2185:
2182:
2181:
2180:
2177:
2173:
2170:
2169:
2168:
2165:
2163:
2160:
2158:
2155:
2153:
2150:
2148:
2145:
2144:
2142:
2140:
2136:
2133:
2129:
2123:
2122:
2118:
2116:
2115:
2111:
2109:
2106:
2104:
2101:
2099:
2096:
2094:
2091:
2089:
2086:
2084:
2083:Infinitesimal
2081:
2079:
2076:
2074:
2071:
2069:
2066:
2064:
2061:
2059:
2056:
2055:
2053:
2051:
2047:
2041:
2038:
2036:
2033:
2031:
2028:
2026:
2023:
2021:
2018:
2017:
2015:
2009:
2001:
1998:
1996:
1993:
1991:
1988:
1986:
1983:
1981:
1978:
1976:
1973:
1971:
1968:
1966:
1963:
1961:
1958:
1956:
1953:
1952:
1950:
1946:
1943:
1939:
1936:
1934:
1931:
1930:
1929:
1926:
1924:
1921:
1919:
1916:
1914:
1911:
1909:
1906:
1904:
1901:
1899:
1896:
1895:
1893:
1891:
1888:
1887:
1885:
1881:
1873:
1870:
1868:
1865:
1863:
1860:
1858:
1855:
1854:
1852:
1850:
1847:
1845:
1842:
1840:
1837:
1835:
1832:
1830:
1827:
1825:
1824:Line integral
1822:
1820:
1817:
1815:
1812:
1810:
1807:
1805:
1802:
1800:
1797:
1796:
1794:
1792:
1788:
1780:
1777:
1775:
1772:
1770:
1767:
1765:
1762:
1761:
1759:
1755:
1752:
1750:
1747:
1745:
1742:
1740:
1737:
1735:
1732:
1731:
1729:
1728:
1726:
1724:
1720:
1714:
1711:
1709:
1706:
1702:
1699:
1697:
1696:Washer method
1694:
1693:
1691:
1689:
1686:
1682:
1679:
1678:
1677:
1674:
1670:
1667:
1665:
1662:
1660:
1659:trigonometric
1657:
1656:
1655:
1652:
1650:
1647:
1643:
1640:
1639:
1638:
1635:
1633:
1630:
1628:
1625:
1623:
1620:
1618:
1615:
1613:
1610:
1609:
1607:
1605:
1601:
1593:
1590:
1588:
1585:
1583:
1580:
1579:
1578:
1575:
1571:
1568:
1566:
1563:
1562:
1560:
1556:
1553:
1551:
1548:
1546:
1543:
1541:
1538:
1537:
1536:
1533:
1529:
1528:Related rates
1526:
1524:
1521:
1519:
1516:
1514:
1511:
1510:
1508:
1504:
1501:
1497:
1494:
1493:
1492:
1489:
1487:
1484:
1482:
1479:
1477:
1474:
1472:
1469:
1467:
1464:
1463:
1462:
1459:
1455:
1452:
1450:
1447:
1446:
1445:
1442:
1440:
1437:
1435:
1432:
1430:
1427:
1425:
1422:
1420:
1417:
1415:
1412:
1411:
1409:
1407:
1403:
1397:
1394:
1392:
1389:
1387:
1384:
1380:
1377:
1376:
1375:
1372:
1370:
1367:
1366:
1364:
1362:
1358:
1352:
1349:
1347:
1344:
1342:
1339:
1337:
1334:
1332:
1329:
1327:
1324:
1322:
1319:
1317:
1314:
1312:
1309:
1307:
1304:
1302:
1299:
1297:
1294:
1292:
1289:
1288:
1286:
1284:
1280:
1276:
1269:
1264:
1262:
1257:
1255:
1250:
1249:
1246:
1228:
1224:
1218:
1215:
1209:
1208:
1203:
1200:
1193:
1190:
1187:
1186:
1181:
1176:
1173:
1160:
1159:
1151:
1148:
1141:
1135:
1130:
1128:
1123:
1121:
1116:
1115:
1109:
1107:
1103:
1099:
1094:
1091:
1087:
1082:
1076:
1071:
1066:
1062:
1054:
1051:
1049:
1046:
1044:
1041:
1039:
1036:
1034:
1031:
1029:
1028:
1024:
1023:
1018:
1016:
1014:
1010:
1006:
1005:
1000:
996:
992:
989:in his early
988:
984:
980:
972:
968:
963:
952:
947:
945:
940:
938:
933:
932:
930:
929:
922:
919:
917:
914:
912:
909:
907:
904:
902:
899:
897:
894:
892:
889:
888:
880:
879:
872:
869:
867:
864:
862:
859:
857:
854:
853:
845:
844:
833:
830:
828:
825:
823:
820:
819:
818:
817:
807:
806:
795:
792:
790:
787:
785:
782:
780:
777:
775:
774:Line integral
772:
770:
767:
765:
762:
761:
760:
759:
754:
749:
746:
744:
741:
739:
736:
734:
731:
730:
729:
728:
723:
717:
716:Multivariable
711:
710:
699:
696:
694:
691:
689:
686:
684:
681:
679:
676:
674:
671:
670:
669:
668:
663:
658:
655:
653:
650:
648:
645:
643:
640:
638:
635:
633:
630:
629:
628:
627:
621:
615:
614:
603:
600:
598:
595:
593:
590:
588:
585:
583:
579:
577:
574:
572:
569:
567:
564:
562:
559:
557:
554:
553:
552:
551:
548:
544:
539:
536:
534:
531:
529:
526:
524:
521:
519:
516:
513:
509:
506:
505:
504:
503:
497:
491:
490:
479:
476:
474:
471:
469:
466:
464:
461:
459:
456:
454:
451:
448:
444:
440:
439:trigonometric
436:
433:
431:
428:
426:
423:
421:
418:
417:
416:
415:
410:
405:
402:
400:
397:
395:
392:
390:
387:
384:
380:
377:
375:
372:
371:
370:
369:
364:
359:
356:
354:
351:
349:
346:
345:
344:
343:
337:
331:
330:
319:
316:
314:
311:
309:
306:
304:
301:
299:
296:
294:
291:
289:
286:
284:
281:
279:
276:
274:
271:
270:
269:
268:
265:
261:
256:
253:
251:
250:Related rates
248:
246:
243:
241:
238:
236:
233:
231:
228:
227:
226:
225:
220:
213:
210:
208:
207:of a function
205:
203:
202:infinitesimal
200:
199:
198:
195:
192:
188:
185:
184:
183:
182:
177:
171:
165:
164:
158:
155:
153:
150:
148:
145:
144:
139:
136:
134:
131:
130:
126:
123:
122:
121:
120:
101:
95:
92:
86:
80:
77:
74:
71:
64:
57:
54:
48:
43:
39:
30:
29:
26:
22:
18:
17:
3061:Isaac Newton
2973:
2966:
2958:
2949:
2882:Isaac Barrow
2820: (home)
2561:Newtonianism
2536:Newton scale
2499:Impact depth
2472: (1754)
2467:
2464: (1728)
2459:
2449:
2436:
2421:
2407: (1711)
2402:
2399: (1707)
2394:
2391: (1704)
2386:
2383: (1704)
2378:
2375: (1687)
2370:
2367: (1684)
2362:
2359: (1671)
2354:
2348:Publications
2194:Secant cubed
2119:
2112:
2093:Isaac Newton
2063:Brook Taylor
1730:Derivatives
1701:Shell method
1429:Differential
1230:. Retrieved
1227:www.mhhe.com
1226:
1217:
1205:
1192:
1183:
1175:
1163:. Retrieved
1157:
1150:
1106:expanding it
1095:
1080:
1025:
1002:
999:mathematical
987:Isaac Newton
978:
976:
970:
966:
435:Substitution
197:Differential
170:Differential
2961:by Paolozzi
2900:Roger Cotes
2509:Newton disc
2423:Quaestiones
2396:Arithmetica
2262:of surfaces
2013:and numbers
1975:Dirichlet's
1945:Telescoping
1898:Alternating
1486:L'HĂ´pital's
1283:Precalculus
1075:Mathematics
1013:integration
891:Precalculus
884:Miscellanea
849:Specialized
756:Definitions
523:Alternating
366:Definitions
179:Definitions
3078:Categories
3048:Categories
3024:XMM-Newton
2941:Depictions
2912:John Keill
2834:Apple tree
2829:Later life
2824:Early life
2404:De Analysi
2058:Adequality
1744:Divergence
1617:Arc length
1414:Derivative
1142:References
1043:Derivative
1001:treatise,
871:Variations
866:Stochastic
856:Fractional
725:Formalisms
688:Divergence
657:Identities
637:Divergence
187:Derivative
138:Continuity
2863:Relations
2372:Principia
2257:of curves
2252:Curvature
2139:Integrals
1933:Maclaurin
1913:Geometric
1804:Geometric
1754:Laplacian
1466:linearity
1306:Factorial
1207:MathWorld
971:"fluxion"
861:Malliavin
748:Geometric
647:Laplacian
597:Dirichlet
508:Geometric
93:−
40:∫
2986:Namesake
2952:by Blake
2546:Spectrum
2487:Calculus
2456: )
2356:Fluxions
2247:Manifold
1980:Integral
1923:Infinite
1918:Harmonic
1903:Binomial
1749:Gradient
1692:Volumes
1503:Quotient
1444:Notation
1275:Calculus
1202:"Fluent"
1019:See also
995:function
991:calculus
983:variable
967:"fluent"
901:Glossary
811:Advanced
789:Jacobian
743:Exterior
673:Gradient
665:Theorems
632:Gradient
571:Integral
533:Binomial
518:Harmonic
383:improper
379:Integral
336:Integral
318:Reynolds
293:Quotient
222:Concepts
58:′
25:Calculus
2504:Inertia
2492:fluxion
2388:Queries
2380:Opticks
2364:De Motu
2184:inverse
2172:inverse
2098:Fluxion
1908:Fourier
1774:Stokes'
1769:Green's
1491:Product
1351:Tangent
1232:6 March
1182:at the
1165:6 March
1053:Fluxion
1009:fluxion
896:History
794:Hessian
683:Stokes'
678:Green's
510: (
437: (
381: (
303:Inverse
278:Product
189: (
2959:Newton
2950:Newton
2267:Tensor
2189:Secant
1955:Abel's
1938:Taylor
1829:Matrix
1779:Gauss'
1361:Limits
1341:Secant
1331:Radian
1061:Portal
979:fluent
738:Tensor
733:Matrix
620:Vector
538:Taylor
496:Series
133:Limits
2794:table
2131:Lists
1990:Ratio
1928:Power
1664:Euler
1481:Chain
1471:Power
1346:Slope
1100:is a
561:Ratio
528:Power
447:Euler
425:Discs
420:Parts
288:Power
283:Chain
212:total
2000:Term
1995:Root
1734:Curl
1234:2017
1167:2017
1102:stub
969:and
642:Curl
602:Abel
566:Root
1476:Sum
273:Sum
3080::
1225:.
1204:.
1015:.
977:A
445:,
441:,
2454:"
2450:"
2444:"
2429:"
2333:e
2326:t
2319:v
1267:e
1260:t
1253:v
1236:.
1210:.
1169:.
1133:e
1126:t
1119:v
1108:.
1063::
950:e
943:t
936:v
514:)
449:)
385:)
193:)
105:)
102:a
99:(
96:f
90:)
87:b
84:(
81:f
78:=
75:t
72:d
68:)
65:t
62:(
55:f
49:b
44:a
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