Let , and define . At which of the following –values does attain a relative maximum…

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

Problem

Let

f(x)=x(x-4)(x-6)

, and define

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

. At which of the following

x

–values does

g

attain a relative maximum on the interval

0<x<6

? (a)

x\approx 1.6

(b)

x=6

(c)

x=4

(d)

x=5