Consider the function on the interval

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

Problem

Consider the function

h(x)=\ln x-\dfrac{x}{2}

on the interval

[1,4]

. At which

x

-value does

h

attain its absolute maximum on this interval? (a)

x=\sqrt{2}

(b)

x=2

(c)

x=1

(d) There is no absolute maximum on

[1,4]