For , define on the interval . For which of the following values of does attain its…

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

Problem

For

a>0

, define

f_a(x)=x^{4}-4a x^{2}

on the interval

[-2,2]

. For which of the following values of

a

does

f_a

attain its absolute maximum value at the endpoints

x=-2

and

x=2

rather than at an interior point of the interval? (a)

1.5

(b)

3

(c)

0.5

(d)

1