Solve: (sin x)x.

1.	Solve: (sin x)x.
Answer» Let y = (sin x)x , Taking logm logy = xlogsinx \(\frac{1}{y}\frac{dy}{dx}\)= x . \(\frac{1}{sinx}\). cosx + logsinx.1 \(\frac{dy}{dx}\)= y[xcotx + logsinx]

Answer»

Let y = (sin x)x , Taking logm

logy = xlogsinx

\(\frac{1}{y}\frac{dy}{dx}\)= x . \(\frac{1}{sinx}\). cosx + logsinx.1

\(\frac{dy}{dx}\)= y[xcotx + logsinx]

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