Differentiation Question 217

Question: $ \frac{d}{dx}( \frac{\log x}{\sin x} )= $

Options:

A) $ \frac{\frac{\sin x}{x}-\log x.\cos x}{\sin x} $

B) $ \frac{\frac{\sin x}{x}-\log x.\cos x}{{{\sin }^{2}}x} $

C) $ \frac{\sin x-\log x.\cos x}{{{\sin }^{2}}x} $

D) $ \frac{\frac{\sin x}{x}-\log x}{{{\sin }^{2}}x} $

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Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}( \frac{\log x}{\sin x} )=\frac{\frac{\sin x}{x}-\log x.\cos x}{{{\sin }^{2}}x} $ .