Let be the inverse of an invertible function which is differentiable at

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

Problem

Let g(x)g(x) be the inverse of an invertible function f(x)f(x) which is differentiable at x=cx = c , then g′(f(c))g'(f(c)) equals (1) f′(c)f'(c) (2) 1f′(c)\frac{1}{f'(c)} (3) f(c)f(c) (4) None of these

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