AP Calculus AB - Derivatives and Inverse Functions

This set of flashcards includes key derivative formulas and the inverse function rule from AP Calculus AB lecture notes.

Derivative of sinu

cosu · Dxu

Derivative of cosu

-sinu · Dxu

Derivative of tanu

sec²u · Dxu

Derivative of cscu

 -cscucotu · Dxu

Derivative of secu

secu · tanu · Dxu

Derivative of cotu

-csc²u · Dxu

Inverse sinu derivative

(1/√(1-u²)) · Dxu

Inverse cosu derivative

-(1/√(1-u²)) · Dxu

Inverse tanu derivative

 (1/(1+u²)) · Dxu

Inverse secu Derivative

 (1/|u|√(u²-1)) · Dxu

Inverse cscu derivative

-1/|u|√(u²-1)) · Dxu

Inverse cotu derivative

 - (1/(1+u²)) · Dxu

Inverse Function Rule

If f(x) and f⁻¹(x) are inverse functions, then (f⁻¹)'(d) = 1/f'(c).

Derivative of e^u

e^u · Dxu

Derivative of a^u

a^u · ln(a) · Dxu