Mathematics · Differential Calculus

If y = √(x + √(y + √(x + √(y + ... ∞)))), then dydx is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1y2 - x2y3 - 2xy - 1✓
22y2 - 2xy + 1
33y3 - 2xy2 + xy + 2
4y3x - y

Correct answer

y2 - x2y3 - 2xy - 1

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If y = √(x + √(y + √(x + √(y + ... ∞)))), then dydx is equal to:

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If y = √(x + √(y + √(x + √(y + ... ∞)))), then dydx is equal to:

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