For the function

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

Problem

For the function

h(x)=x^{4}-4x^{3}

, which one of the following statements is correct? (a)

x=3

is a local maximum and

x=0

is not an extremum. (b)

x=3

is a local minimum and

x=0

is not an extremum. (c)

x=3

is a local maximum and

x=0

is a local minimum. (d)

x=0

is a local minimum and

x=3

is a local maximum.