Differentiate the following functions with respect to `sqrt((1-x^2)/(1+x^2))`

Explanation

`Rightarrow frac{d y}{d x}=(frac{1-x^{2}}{1+x^{2}})^{-frac{1}{2}}[frac{-2 x}{(1+x^{2})^{2}}]`




`Rightarrow frac{d y}{d x}=frac{(1-x^{2})^{frac{1}{2}}}{(1+x^{2})^{frac{1}{2}}}[frac{-2 x}{(1+x^{2})^{2}}]`




`Rightarrow frac{d y}{d x}=frac{-2 x(1-x^{2})^{frac{1}{2}}}{(1+x^{2})^{frac{1}{2}+2}}`
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