COMEDK · Maths · 26. Differentiation
\(\text { If } y=\sqrt{\sin x+y} \text { then find } \dfrac{d y}{d x} \text { at } x=0, \quad y=1\)
- A 1
- B 0
- C 2
- D \(-\)1
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
Given the equation \(y = \sqrt{\sin x + y}\). Squaring both sides, we get \(y^2 = \sin x + y\). Differentiating both sides with respect to \(x\), we obtain \(2y \dfrac{dy}{dx} = \cos x + \dfrac{dy}{dx}\). Rearranging the terms to solve for \(\dfrac{dy}{dx}\), we have…
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