A differentiable function satisfies for and the initial condition

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A differentiable function

p

satisfies

p'(x)=4-2x

for

0 \le x \le 5

and the initial condition

p(0)=1

. Determine the absolute maximum value of

p

on the closed interval

[0,5]

and state the

x

-value at which it occurs.