If y= (x- sin ⁡x )+ (x- sin ⁡x )+ (x- sin ⁡x ) … … … . then dy dx=

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Accepted Answer

Correct answer: A. (a) : We have, y= (x- sin ⁡x )+ (x- sin ⁡x )+ (x- sin ⁡x ) ∴y= (x- sin ⁡x )+y On squaring both sides, we get y^2= (x- sin ⁡x )+y Now, on differentiating w.r.t. ' x ' we get 2y dy dx= (1- cos ⁡x )+ dy dx ⇒2y dy dx- dy dx= (1- cos ⁡x ) ⇒ dy dx (2y-1 )= (1- cos ⁡x ) ⇒ dy dx= (1- cos ⁡x )2y-1

$If y = (x - sin x) + (x - sin x) + (x - sin x) \dots \dots \dots . then \frac{dy}{dx} =$

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