Let for . At which of the following -values does attain its absolute maximum on this…

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

Problem

Let

g(x)=2\sin x+\dfrac{x}{2}

for

0\le x\le \pi

. At which of the following

x

-values does

g

attain its absolute maximum on this interval? (a)

\dfrac{2\pi}{3}

(b)

\dfrac{\pi}{2}

(c)

\arccos\!\left(-\tfrac14\right)

(d)

\pi