Let for all real

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

Problem

Let

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

for all real

x

. Determine the

x

-coordinate(s) at which the graph of

f

is most likely to have a point of inflection. (a)

x=0 \text{ and } x=2

(b)

x=0

only (c)

x=1

only (d) The graph of

f

has no points of inflection