Mathematics

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.