Let for . What is the absolute maximum value of on this…

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

Problem

Let

h(x)=x^{\tfrac{2}{3}}(4-x)

for

-1\le x\le 4

. What is the absolute maximum value of

h

on this interval? (a)

0

(b)

\approx 3.3

(c)

5

(d)

1.6