Fresh C.

asked • 01/05/18

If f is a differentiable function, and f ''(c)= 0 , then f has an inflection point at x=c . true /false

If f is a differentiable function, and f ''(c)= 0 , then f has an inflection point at x=c . true /false
 
is there a theorem that proves or disproves this?
is there a counter example? 

1 Expert Answer

By:

Tony H. answered • 01/05/18

Tutor
5.0 (466)

Math and Physics Tutor

Ashley H.

No, its false. what about a parabola? The second derivative is zero at the vertex but it doesn't change signs on either side.
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06/10/19

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