Question

differentiate

Answer 1

\[\sqrt{\frac{ (x^2+1) }{ (x^2-1)}}\]

Answer 2

have u tried it yet?

Answer 3

Find the derivative of it

Answer 4

\[1/2(\frac{ x^2+1 }{ x^2-1 })^-1/2(\frac{ (x^2-1)(2x)-(x^2+1)(2x) }{ (x^2-1)^2 }\]

Answer 5

that first one is raised to the -1/2 :P

Answer 6

Thats what I got

Answer 7

right :)

Answer 8

cool correct

Answer 9

this is where i get messed up, the denominator :(

Answer 10

You can probably simplify it yet if your teacher wants it that way

Answer 11

\[\frac{ -2x }{ \sqrt{\frac{ x^2+1 }{ x^2-1 }}(x^2-1)^2 }\]

Answer 12

do you think it is -4x on top

Answer 13

i simplified it with the 1/2 from earlier

Answer 14

and you should probably get rid of that compound fraction
this is really ugly

Answer 15

Oh good point.

Answer 16

thats where im lost, how do i clean up the denominator?

Answer 17

denominator only. can you...\[\frac{ (x ^{2}+1)^{\frac{ 1 }{ 2 }}(x ^{2}-1)^{2} }{ (x ^{2}-1)^{\frac{ 1 }{ 2 }} }\]

Answer 18

Now do you see that the x^2-1 can be simplified

Answer 19

Nice question. Good luck in your studies