For the family of functions defined on

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

Problem

For the family of functions

f_k(x)=x^{4}+k x^{2}

defined on

[-3,3]

, determine all real values of

k

for which

f_k

attains its absolute minimum at

x=0