Question

9.

f(x)= x sqrt(x^2+4) on interval [-5,4]

What region does it concave down?
What region does it concave up?
Max?
Min?

Answer 1

I don't think you will find many folks who will volunteer to do your work for you. Do you have any questions about the procedure, or method?

These questions seem pretty straightford exercises in use of the first and second derivatives, and the meaning thereof.

Answer 2

I agree with bob
You have posted 8 consecutive questions of a rather routine and elementary level.
I would consider these of mediocre difficulty that I would have expected most of my students to be able to do.

These are the type of question one would find as examples for this topic in most textbooks.

Show some effort and we will gladly help you with any difficulty you run into.

Answer 3

Oh well, go ahead, take away my calculus warmup for the morning :)
Hey mk
take the first derivative and set it to zero.
the resulting roots are critical points where the slope is horizontal
then take the second derivative at those points and look at the sign
if +, then that was a minimum
if negative, then that was a maximum
if zero, it flattens out, then resumes.

Answer 4

Thanks Damon.

And to Bob and Reiny, I was not asking for answers at all, I assumed that when someone looked at the question they would explain how to do it, not give me the answer. Considering I have all the answers in the back of my book. But thanks.