y-x-sinx-find-y-

Question Number 162280 by MathsFan last updated on 28/Dec/21

y = x^{s i n x}

f i n d y^{'}

Answered by Ar Brandon last updated on 28/Dec/21

y = x^{\sin x}

\ln y = \sin x \ln x

\frac{1}{y} \cdot \frac{d y}{d x} = \frac{\sin x}{x} + \cos x \ln x

\Rightarrow \frac{d y}{d x} = x^{\sin x} (\frac{\sin x}{x} + \cos x \ln x)