Let , where . At , we have . For which values of is a point of local maximum of…

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

Problem

Let

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

, where

k\in\mathbb{R}

. At

x=0

, we have

f'(0)=0

. For which values of

k

x=0

a point of local maximum of

f

? (a)

k>0

(b)

k=0

(c)

k<0

(d)

k\neq 0