Let . Which of the following correctly describes the relative extrema of…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

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

. Which of the following correctly describes the relative extrema of

f

? (a)

x=0

is a relative minimum and

x=2

is a relative maximum. (b)

x=0

and

x=2

are both relative maxima. (c)

x=0

is a relative maximum and

x=2

is a relative minimum. (d)

x=1

is a relative maximum and

x=2

is a relative minimum.