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Assume that f is a polynomial and x=10 is a critical number for f. If f′′(10)=−2–√,  what do we conclude from the Second Derivative Test?

Assume that f is a polynomial and x=10 is a critical number for f.

If   f′′(10)=−2–√, 

 what do we conclude from the Second Derivative Test?

A. f has a local maximum at x=10

B. f has a local minimum at x=10

C. f has inflection point at x=10

D. f is concave up for x>10

E. f is concave down for x>10

2 Answers

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  • 1 week ago

    rotchm

     is it a local max at x=10?

  • rotchm
    Lv 7
    2 weeks ago

    You are told that f '(10) = 0 and that f ''(10) < 0.

    Now, you are supposed to know what this means. Just look up in your documentation. They explicitly tell you what this represents.

    Done!

    So what is your tentative answer?

    Yes, loc.max.

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