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suppose g is a function for which g(7)=-7, g'(7)=0, g''(7)=7. It follows that (7,-7)

 
 
Reply Wed 28 Oct, 2020 01:49 am
suppose g is a function for which g(7)=-7, g'(7)=0, g''(7)=7. It follows that (7,-7) is ________

the answer is local minimum but I don't get how g''(7)=7 contributes to get the answer.

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engineer
 
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Reply Wed 28 Oct, 2020 09:29 am
@bmvkim56,
The second derivative tells you whether you are looking at a local min or max. Because the second derivative is positive, you are looking at a local minimum.
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