`Ify=sqrt(sinx+y ,)` then `(dy)/(dx)=` `(sinx)/(2y-1)` (b) `(sinx)/(1-2y)` (c) `(cosx)/(1-2y)` (d) `(cosx)/(2y-1)`

Explanation

Given, `y=sqrt{sin x+y}`


`Rightarrow y^{2}=sin x+y`


Differentiate w.r.t. `x`,



`Rightarrow 2 y frac{d y}{d x}=cos x+frac{d y}{d x}`




`Rightarrow frac{d y}{d x}=frac{cos x}{2 y-1}`