If y=x^ x^ x^ x^ , then x (1 – y l og x) dy dx

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If \(y=x^{x^{x^{x^{\ldots}}}},\) then x (1 – y log x) \(\frac{\mathrm{dy}}{\mathrm{dx}}\)
  1. x2
  2. y2
  3. xy2
  4. xy

Answer

(B) y 2

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