If , then prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If y=cos⁡x+cos⁡x+cos⁡x+…∞y = \sqrt{\cos x + \sqrt{\cos x + \sqrt{\cos x + \dots \infty}}} , then prove that dydx=sin⁡x1−2y\frac{dy}{dx} = \frac{\sin x}{1-2y} .

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