Let be a differentiable function satisfying [f(x)]^n = f(nx) for all x R Then

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let ff be a differentiable function satisfying [f(x)]n=f(nx) for all x∈R[f(x)]^n = f(nx) \text{ for all } x \in \mathbb{R} Then, f′(x)f(nx)f'(x)f(nx) equals (1) f(x)f(x) (2) 0 (3) f(x)f′(nx)f(x)f'(nx) (4) None of these

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