Let for . At which value of does attain a local…

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

Problem

Let

f(x)=x^{3}(4-x)

for

0<x<4

. At which value of

x

does

f

attain a local maximum? (a)

x = 2

(b)

x = \sqrt{3}

(c)

x = 3

(d)

x = 4