differentiation

Question: If $y = {\tan ^{ - 1}}\left[ {\frac{{\sin x + \cos x}}{{\cos x - \sin x}}} \right]\,,$ then $\frac{{dy}}{{dx}}$ is



1) $1/2$
2) $\pi /4$
3) 0
4) 1
Solution: Explanation: Explanation
standard-differentiation

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