Let . Determine all critical numbers of…

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

Problem

Let

f(x)=x^{3}-6x^{2}+9x+1

. Determine all critical numbers of

f

. (a)

x=2

only (b)

x=1

only (c)

x=1 \text{ and } x=3

(d)

x=-1 \text{ and } x=3