If y=x+ 1 x+ 1 x+ 1 x+ , then find dy dx
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \[y=x+\frac{1}{x+\frac{1}{x+\frac{1}{x+\ldots \ldots \infty}}}\] , then find \(\frac{\mathrm{dy}}{\mathrm{dx}}\)
- \(\frac{y}{2 y-x}\)
- \(\frac{x}{2 x-y}\)
- \(\frac{y}{y-x}\)
- \(\frac{x}{x-y}\)
Answer
(A) y 2 y-x
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