Question

If \( y=\tan ^{-1}\left(\frac{x-\sqrt{1-x^{2}}}{x+\sqrt{1-x^{2}}}\right) P \cdot T \cdot \frac{d y}{d x}=\frac{1}{\sqrt{1-x^{2}}} \)

Answer 1

Given that y=tan-1(x-(1-x²)^1/2)/(x+(1+x²)^1/2)