Explain, in one or two sentences, why the function has neither a local maximum nor a…

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

Problem

Explain, in one or two sentences, why the function

f(x)=x^{3}

has neither a local maximum nor a local minimum at

x=0

even though

f'(0)=0