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If `y = (sin x)^(log x) " then " (dy)/(dx) =`?

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If `y = (sin x)^(log x) " then " (dy)/(dx) =`?
A. `(log x).(sinx)^((log x -1)).cos x`
B. `(sin x)^(log x).{(x log x + log sin x)/(x)}`
C. `(sin x)^(log x).{((x log x) cot x + log sin x)/(x)}`
D. none of these
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1 Answer

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Correct Answer - C
`log y = (log x).(log sin x)`
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