For the function

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

Problem

For the function

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

, the point

x=0

is a critical point for every real number

a

. Determine the set of all real values of

a

for which this critical point is a relative maximum.