Let for . Which of the following best describes the sign of on this…

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

Problem

Let

p(x)=\sin x\,\cos x

for

x\in(0,\,\pi/2)

. Which of the following best describes the sign of

p'(x)

on this interval? (a) Always positive (b) Always negative (c) Changes sign exactly once (d) Changes sign twice

Related theory

Curve Analysis
Differentiation Rules

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