If f be a polynomial then, the second derivative of f (e x ) is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If f be a polynomial then, the second derivative of f (ex) is
  1. f (ex)
  2. f ′′(ex) ex + f (ex)
  3. f ′′(ex) e2x + f ′′(ex)
  4. f ′′(ex) e2x + f (ex) ex

Answer

(D) f ′′ (e x ) e 2x + f ′ (e x ) e x

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