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  4. If y = (logcos x sin x) (lognx cos x) +sin-1(2x/1+x2),then(dy/dx) at x=(π/2) is equal to

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

Solution:

Correct answer is (a) $\frac{8}{(4+\pi^2)}$