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Question 360013
JEE Mathematics · Medium

Differentiability: Mixed MCQ

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MixedMediumQuestion 360013

Question

d/dx(eˣ sin x) equals:
  1. A
    eˣ(sin x + cos x)
  2. B
    eˣ sin x + eˣ cos x
  3. C
    eˣ cos x
  4. D
    Both A and B are the same
    Correct

Correct answer

Both A and B are the same

Explanation

Product rule: (eˣ)'sin x + eˣ(sin x)' = eˣ sin x + eˣ cos x = eˣ(sin x + cos x). Options A and B are identical expressions.

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