Thread: Finding critical numbers

I am stuck on a question for my calc h.w

it reads to find the critical numbers of x^-2 ln x

When I took the derivative I got -2x^-3 lnx + x^-2 *1/x

I simplified and set it equal to zero. the critical numbers i got were 0 and e^1/2 however the question says I'm wrong

What is the domain of the function?

Originally Posted by neontiger94

it reads to find the critical numbers of x^-2 ln x
When I took the derivative I got -2x^-3 lnx + x^-2 *1/x
I simplified and set it equal to zero. the critical numbers i got were 0 and e^1/2 however the question says I'm wrong

This might apply:

sorry thats not correct it's x^-2 * lnx

What is the domain of that function?

To find critical points, you find the derivative. Then you set the derivative equal to zero. You then solve for x. Those are then candidates for local maxima or minima.