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If $y=\{{{\log }_{\cos x}}\sin x\}{{\{{{\log }_{\sin x}}\cos x\}}^{-1}}+{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right),$ find $\frac{dy}{dx}\;at\;x=\frac{\pi }{4}$
If $y=\{{{\log }_{\cos x}}\sin x\}{{\{{{\log }_{\sin x}}\cos x\}}^{-1}}+{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right),$ find $\frac{dy}{dx}\;at\;x=\frac{\pi }{4}$
CBSE | Class 12 | Differentiation | Exercise 11.4 | Maths | RD Sharma
If $y=\{{{\log }_{\cos x}}\sin x\}{{\{{{\log }_{\sin x}}\cos x\}}^{-1}}+{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right),$ find $\frac{dy}{dx}\;at\;x=\frac{\pi }{4}$

As per the given question,

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