- #1

- 181

- 6

My attempt:

##\frac{dy}{dx}## = ##\frac{1}{\sqrt{1-(\frac{(x-1)}{(x+1)})^2}}## . ##\frac{d}{dx}(\frac{x-1}{x+1})##

= ##\frac{1}{\sqrt{(\frac{(x+1)^2-(x-1)^2}{(x+1)^2}}}## . ##\frac{(x+1)(1)-(x-1)(1)}{(x+1)^2}##

= ##\frac{x+1}{\sqrt{x^2+2x+1-x^2+2x-1}}## . ##\frac{(x+1-x+1)}{(x+1)^2}##

= ##\frac{x+1-x+1}{(x+1)(\sqrt4x)}##

= ##\frac{2}{(x+1)(\sqrt4x)}##