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Please solve RD Sharma class 12 chapter 10 Differentiation exercise Multiple choice question 17 maths textbook solution

Answers (1)

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Answer:

        \frac{\cos 2 x}{2 y-1}

Hint:

        Differentiate the function w.r.t x

Given:

        y=\sqrt{\sin x+y}

Solution:  

        y=\sqrt{\sin x+y}

Squaring both side

        \begin{aligned} &y^{2}=\sin x+y \\\\ &y^{2}-y=\sin x \\\\ &2 y \frac{d y}{d x}-\frac{d y}{d x}=\cos x \end{aligned}

 

 

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