If y=x+ 1 x+ 1 x+ 1 x+ , then find dy dx

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If \[y=x+\frac{1}{x+\frac{1}{x+\frac{1}{x+\ldots \ldots \infty}}}\] , then find \(\frac{\mathrm{dy}}{\mathrm{dx}}\)
  1. \(\frac{y}{2 y-x}\)
  2. \(\frac{x}{2 x-y}\)
  3. \(\frac{y}{y-x}\)
  4. \(\frac{x}{x-y}\)

Answer

(A) y 2 y-x

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Limit, Continuity and Differentiability questions · Browse all practice questions