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Question 360014
JEE Mathematics · Hard

Differentiability: Mixed MCQ

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MixedHardQuestion 360014

Question

The nth derivative of eˣ is:
  1. A
    eˣ for all n
    Correct
  2. B
    neˣ
  3. C
    eˣ/n!
  4. D
    xⁿeˣ

Correct answer

eˣ for all n

Explanation

Differentiating eˣ any number of times gives eˣ. Dⁿeˣ = eˣ for all positive integers n.

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