If , , then the derivative of at…

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

Problem

f(0) = 0

f'(0) = 2

, then the derivative of

y = f(f(f(f(x))))

x = 0

is (a) 2 (b) 8 (c) 16 (d) 4

Related theory

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

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