Consider the function on the interval

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the function

g(x)=2\sin x-\sin 2x

on the interval

0\le x\le 2\pi

. At which of the following points does

g

attain its greatest local maximum within this interval? (a)

x=\dfrac{\pi}{2}

(b)

x=\dfrac{4\pi}{3}

(c)

x=\dfrac{2\pi}{3}

(d)

x=\dfrac{5\pi}{6}