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?

Question

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

Savannah · Answer

rotchm
 is it a local max at x=10?

rotchm · Answer

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.

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?

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