Consider the function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

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