Let . Then…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

y=\sqrt{x+\sqrt{x+\sqrt{x+\dots}}}

. Then

\frac{dy}{dx}

equals (1)

\frac{1}{2y-1}

(2)

\frac{x}{x+2y}

(3)

\frac{1}{\sqrt{1-4x}}

(4)

\frac{y}{2x+y}

Related theory

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