Let . What is the value of…

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

Problem

Let k(x)=x3k(x)=x^{3}. What is the value of (k−1)′(0)(k^{-1})'(0)? (a) 13\dfrac{1}{3} (b) Does not exist because k′(0)=0k'(0)=0 (c) 00 (d) Undefined because kk is not one-to-one

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