At the graph of a differentiable function has a horizontal tangent line

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

Problem

At x=3x=3 the graph of a differentiable function pp has a horizontal tangent line. Which of the following is true about p′(3)p'(3)? (a) p′(3)=p(3)p'(3)=p(3) (b) p′(3)p'(3) is undefined (c) p′(3)=0p'(3)=0 (d) p′(3)<0p'(3)<0

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