Differentiate the functions given in w.r.t. x.


Given:

Let y=


Let y = u + v




Taking log on both sides, we get



log u = x.log(x cos x)


log u = x(log x + log (cos x))


log u = x(log x) +x(log (cos x))


Now, differentiate both sides with respect to x










Taking log on both sides, we get






Now, differentiate both sides with respect to x









Because, y = u + v




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