Diff and Integ Rules Final

∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ [ ] ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫

Differentiation Formulas

Differentiation Formulas

Calculus Notes Derivative of an Inverse Given f(a) = b → f

Derivative of an Inverse Given f(a) = b → f-1 (b) = a f '(a) = m The Derivative of the inverse at b is the reciprocal of the derivative of f(x) at a

Dérivées : formulaire

DESCRIPTIFS DES COURS 2014

Cal I Review

DERIVATIVES AND INTEGRALS

tanh u  sech2 uu dx d
csch u 
csch u coth uu dx d u
tanh
1 u  dx 1
u2
u d
csch
1 u  dx u 1  u2

Integration Tables

Campus Monterrey

Tabla de Integrales

Développements en séries entières usuels

( −1) ( 2n )! x 2 n = 1 − x 2 + 3x 4 − 5 x 6 + ...

Tablas de integración

y ysx y4 yt yu yx yx yx

Then find t
x in two ways: (a) by using Part 1 of the Fundamental Theorem and (b) by evaluating the integral using Part 2 and then differentiating. ■ Use Part 1 of the Fundamental Theorem of Calc...

dérivées usuelles - Les pages perso du Crans

fundamental theorem of calculus chain rule

! f (x) dx = F(x) + C, where F ' (x) = f (x) d dx

Historical Gateway to the Calculus of Variations

dx This is the Euler equation, named for Leonhard Euler [1707–1783] who derived it in 1744. The solution fˆ of the brachistochrone problem is the function f = fˆ that satisfies (14) when I is the f...