Provide an explicit differentiable function such that but is not a local extremum of

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

Problem

Provide an explicit differentiable function

f

such that

f'(0)=0

but

x=0

is not a local extremum of

f

. State the function and give a brief reason supporting your claim.