I am looking for Calc help -- Derivative help?

Question

Any Math Gurus out there. I need to find the first and second derivative of x-1/x+2.

I found the first derivate which his 3/(x+2)squared the denominator is squared.

I am having trouble finding the second derivative and then the domains.

Any help would be appreciated

Answer 1

From your answer, I assume the expression is (x-1)/(x-2). The second derivative is the derivative of the first derivative. The first derivative is 3/(x+2)^2; take the derivative of that to get the second derivative -6/(x+2)^3

Answer 2

Change the second term to x^-1

x - (x^-1) + 2

First derivative:

1 - (-x^-2) + 0 = 1+x^-2

Second derivative:

0 + (-2x^-3) = -2x^-3

Hope this helps,
Lorax