Question

find dy/dx if y=
(xsinx)/(x+sinx)​

Answer 1

Answer:  yx

Step-by-step explanation: ------

Answer 2

Answer:

Step-by-step explanation:

The given equation is to be differentiated in terms of y with respect to x.

Given Equation: y = x sin x

{d \frac{y}{d x}=d \frac{(x \sin x)}{d x}}\\ {d \frac{y}{d x}=x \frac{d(\sin x)}{d x}+\sin x\ d \frac{x}{d x}}

\begin{array}{c}{d \frac{y}{d x}=x \cdot \cos x+\sin x \cdot 1} \\ {d \frac{y}{d x}=x \cos x+\sin x}\end{array}

The value of y by differentiating in terms of y with respect to x d \frac{y}{d x}=x \cos x+\sin x.