JEE MainMathematicsEasyDifferentiation

If $y = \log_{\sqrt{e}}(sinx),$ then $\frac{dy}{dx}$ is

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y = \frac{1}{1/2}\log_{e}(sinx) = 2ln(sinx)

\frac{dy}{dx} = 2\frac{cosx}{sinx} = 2cotx

Source: Grass-G / M-12 Mathematics Paper 2 Nov.docx

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