For , at which value of does the function attain its absolute…

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

Problem

For

0\le x\le \dfrac{\pi}{3}

, at which value of

x

does the function

h(x)=\tan x- x

attain its absolute maximum? (a)

x=\dfrac{\pi}{4}

(b)

x=0

(c)

x=\dfrac{\pi}{3}

(d)

x=\dfrac{\pi}{6}