For , define . Determine…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

For

x>-2

, define

f(x)=\ln(x+2)

. Determine

(f^{-1})'(0)

. (a)

2

(b)

\dfrac{1}{2}

(c)

1

(d)

e

Related theory

Derivatives of Inverse Functions
Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

Browse the problem library