If $y = (\log_{\cos x}\sin{x)(\log_{\sin x}\cos{x) + \sin^{- 1}\frac{2x}{1 + x^{2}},}then\frac{dy}{dx}\ at\ x = \frac{\pi}{2}}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(d)
Given, $y = (\log_{\cos x}{\sin{x)(\log_{\sin x}{\cos{x) + \sin^{- 1}\frac{2x}{1 + x^{2}}}}}}$
At $x = \frac{\pi}{2},\log_{\sin x}\$cos x is not defined.
Hence, we cannot determined the derivative at $x = \frac{\pi}{2}$.

Q. If $y = (\log_{\cos x}\sin{x)(\log_{\sin x}\cos{x) + \sin^{- 1}\frac{2x}{1 + x^{2}},}then\frac{dy}{dx}\ at\ x = \frac{\pi}{2}}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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