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If y = √(cosx + √(cosx + √(cosx + ... to ∞))) then find dy/dx.

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If y = √(cosx + √(cosx + √(cosx + ... to ∞)))  then find dy/dx.

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Best answer

We have 

y = √(cosx + √(cosx + √(cosx + ... to ∞)))

⇒ dy/dx = f'(x)/(2y – 1)

⇒  dy/dx =  – sinx/(2y – 1)

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