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# Suppose that $f"$ is continuous and $f'(c) = f"(c) = 0$, but $f"(c) > 0$. Does $f$ have a local maximum or minimum at $c$? Does $f$ have a point of inflection at $c$?

## $f$ has an inflection point at $c$

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the problem is supposed that it is the regenerative off half is continuous. Andi Directive on DH second narrative At that point, see your secret cereal. They're interpretive C is acquitted and zero. That's as has a local maximum or minimum acted. See, this has a point of election. I see. So first for this question after is not necessarily country is our home is if half Marx is he going to act killed? That is a point two zero if say, zero zero half I'm from sea is equal to off prom zero, which is equal to three times still square viciously with zero on second narrative. Seeing is also Theroux after the Syrian derivative equal to six, which is positive. But the function after box has no local maximum or minimum value. I think the point accede to cereal for the that kind of question. Other is yes, the reason this things sight The third narrative off off is continuous on DH, the third definitive. I see it's a gritted at zero. So we have there exists and the interval ex wan tto axe too. Such that See the last two x one x two on behalf of Lex. It's good in a zero for any acts. Last too. This into all ex Want wax too. They're interpretive. So behalf, the second interpretive is increasing. And that interval axe wan to ax too. Thanks si Last two tests Interval Andi This that conservative at sea is equal to zero. So behalf from from ACS it's the last time Zero one axe Last two acts one to see On the second narrative X is greater than zero one acts last to see two ax True So the second narrative she sighs at sea So half has has a point of view collection I see.

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