Prove that if (c,f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0 May need to apply first derivative test and Fermat's theorem to the...

Prove that if (c,f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0

May need to apply first derivative test and Fermat's theorem to the fuction g=f'

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A point of inflection on a graph f(x) is where f''(x) = 0

If c is a point of inflection on the graph f(x) then, as long as f''(x) exists in the region of c then f''(c) = 0.

Fermat's Theorem says...

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