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Question Number 161311 by CM last updated on 15/Dec/21

$$Differentiatey=\sin xy$$

Answered by mr W last updated on 15/Dec/21

$$\frac{dy}{dx}=\cos \left(xy\right)(y+x\frac{dy}{dx})$$$$\Rightarrow \frac{dy}{dx}=\frac{y\cos \left(xy\right)}{1-x\cos \left(xy\right)}$$

Commented by CM last updated on 16/Dec/21

$$Thankyousir$$

Answered by 1549442205PVT last updated on 16/Dec/21

$$weassumethatyisafunctionofx.Then$$$$y^{\prime }=cosxy.(y+{xy}^{\prime })\Rightarrow y^{\prime }(1-xcosxy)=ycosxy$$$$\Rightarrow y^{\prime }=\frac{ycosxy}{1-xcosxy}$$

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