AP

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let f(x)=2(x−1)(x+3)(x2+1)f(x)=2(x-1)(x+3)(x^{2}+1). (a) Write f(x)f(x) in expanded polynomial form. (b) Find f′(x)f'(x). (c) Evaluate f′(1)f'(1) and interpret its meaning in terms of the slope of the tangent line to the graph of y=f(x)y=f(x) at x=1x=1.

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