For , where is a real parameter, classify the point as a local maximum, local…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For

f_k(x)=x^{6}+k x^{4}

, where

k

is a real parameter, classify the point

x=0

as a local maximum, local minimum, or neither in terms of

k