Construct a differentiable function such that but is neither a local maximum nor a…

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

Problem

Construct a differentiable function

F

such that

F'(1)=0

but

x=1

is neither a local maximum nor a local minimum of

F

. Provide the formula for

F

and give a one-sentence justification.