AP ICET 2nd May 2018 Shift-2

Question 135

$$y = x \sin x \Rightarrow \frac{dy}{dx} =$$

Solution

Given,  $$y = x \sin x$$

$$\Rightarrow$$  $$\frac{dy}{dx}=x\cdot\left(\frac{d}{dx}\sin\ x\right)+\sin\ x\cdot\left(\frac{d}{dx}x\right)=x\cdot\cos\ x+\sin\ x$$


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