Question

y=arctan(x-sqrt(1+x^2))

Answer 1

what u want done?

Answer 2

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

Answer 3

oh differentiate

Answer 4

am I on the right track?

Answer 5

oh (x-sqrt(1+x^2))^2

Answer 6

that first term is squared on the bottom

Answer 7

yep... you're on the right track...

Answer 8

ok great, i will simplify

Answer 9

\(\Large [arctan(f(x))]'=\frac{f'(x)}{1+[f(x)]^2} \)