If x=e^ y+e^ y+2+0 , x>0, then d y d x is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If \(x=e^{y+e^{y+2+0 \infty}}, x>0, \text { then } \frac{d y}{d x}\) is
  1. \(\frac{\mathbf{x}}{\mathbf{x}+1}\)
  2. \(\frac{1}{x}\)
  3. \(\frac{1-\mathbf{x}}{\mathbf{x}}\)
  4. \(\frac{1+\mathbf{x}}{\mathbf{x}}\)

Answer

(C) 1- x x

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