JEE Mathematics · Medium

Differentiability: Product rule MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Product ruleMediumQuestion 360004

Question

d/dx [u × v] equals:
  1. A
    u'v + uv'
    Correct
  2. B
    u'v'
  3. C
    u'v − uv'
  4. D
    u'v/v'

Correct answer

u'v + uv'

Explanation

Product rule: d/dx(uv) = u'v + uv'. Example: d/dx(x sin x) = sin x + x cos x.