Let and define

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

Problem

Let

f(x)=(x-2)(x+1)

and define

F(x)=\displaystyle \int_{0}^{x} f(t)\,dt

. At which of the following

x

–values does

F

attain a local maximum? (a)

x=\dfrac12

(b)

x=2

(c)

x=-1

(d)

x=0