Mathematics

Problem

Consider the function

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

. Which statement correctly classifies the local extrema of

f

? a)

x=0

is a local minimum and

x=2

is a local maximum b) Neither

x=0

nor

x=2

is a local extremum c)

x=0

is a local maximum and

x=2

is a local minimum d) Both

x=0

and

x=2

are local minima