Hi. I was wondering if anybody on this forum can help me find the derivative of:

f(x) = [(√x^3 + 2) + 2x)^-2]

I'm pretty sure I'm messing up with the algebra somewhere. Any detailed steps would be appreciated. Thanks in advance.

Btw, this is how far I've gotten.

f'(x) = -2[(√x^3 + 2) + 2x)^-3 * (x^3 + 2)^1/2 + (2x)

Also, on another note. Is there a program I can download that allows me to type math symbols?