Answer the following questions for the function

f(x)=x(sqrtx2+25)
defined on the interval [–5,4].

A. f(x) is concave down on the region to
B. f(x) is concave up on the region to
C. The inflection point for this function is at
D. The minimum for this function occurs at
E. The maximum for this function occurs at

2 answers

assuming you know how to use derivatives to answer the questions,

f = x√(x^2+25)
f' = (2x^2+25)/√(x^2+25)
f" = x(2x^2+75)/(x^2+25)^(3/2)

That should help. Show where you get stuck, if you do.
I tried putting the first derivative =0 so i can find my max and mins but for some reason im having trouble getting the right answer it comes out as a complex number.. please help!?
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