Mathematics

Problem

Let

h

be a twice–differentiable function such that

h'(x)=\sin x

for

0\le x\le 2\pi

and

h(0)=1

. At which value of

x

in the interval

(0,2\pi)

does

h

attain a relative maximum? a)

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

x=\pi

x=2\pi

x=\dfrac{\pi}{2}