AP

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Let

h(x)=(5x^{2}-4x+1)^{7}

. (a) Calculate

h'(x)

and express your answer in factored form. (b) Evaluate

h'(1)

Related theory

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

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