Question

need help on the attachment

Answer 1

Derivative of\[f(x)=2\ln\sqrt{\frac{2x^2-1}{2x^2+1}}?\]

Answer 2

By the way, how is UT doing?

Answer 3

yes

Answer 4

how do you know I go to UT??

Answer 5

Don't send screenshots of your desktop. ;p

Answer 6

Well, you have to perform the chain rule a few times as well as the quotient rule.

Answer 7

It's a nasty differential.

Answer 8

Oh, lol, well UT is great its just to hot down here.

Answer 9

\[f'(x)=2\frac{1}{\sqrt{\frac{2x^2-1}{2x^2+1}}}\frac{1}{2\sqrt{\frac{2x^2-1}{2x^2+1}}}\frac{(2x^2+1)4x-(2x^2-1)4x}{(2x^2+1)^2}\]

Answer 10

... then you can try simplifying that.

Answer 11

well you can take out a 4x from each term on the numerator

Answer 12

the answer would just be 4x/(2x^(2)+1)^2

Answer 13

well actually the numerator is 0, is that right??