Let be defined on the closed interval

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f(x)=x^{3}-3x^{2}+1

be defined on the closed interval

[-1,2]

. At which value of

x

does

f

attain its absolute maximum on this interval? (a)

x=2

(b)

x=0

(c)

x=-1

(d)

x=\sqrt{2}