For , determine the range of for which is a point of local maximum of…

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

Problem

For

f(x)=x^4+kx^2+1

, determine the range of

k

for which

x=0

is a point of local maximum of

f

. (a)

k>0

(b)

k\le 0

(c)

k<0

(d)

k=0