Consider , where . Determine, in terms of , whether the point is a local maximum, a…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider

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

, where

k\in\mathbb{R}

. Determine, in terms of

k

, whether the point

x=0

is a local maximum, a local minimum, or neither.