The function has a critical point at

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

Problem

The function

g(x)=x^{4}

has a critical point at

x=0

. Explain why this critical point cannot be classified using the value of

g''(0)

alone, and state the next analytic step required to complete the classification.