Consider the function .

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

Problem

Consider the function

p(x)=(3x-1)^{4}(x^{2}+2)^{3}

. (a) Determine

p'(x)

. (b) Evaluate

p'(2)

and give the exact numerical result.

Related theory

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

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