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JAMB Mathematics 2010 Objective — Question 41

Question 41 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

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41. If y = xsinx, find dy/dx. A. xsinx-cosx B. sinx+cosx C. sinx-xcosx D. sinx+xcosx

  • A. xsinx-cosx
  • B. sinx+cosx
  • C. sinx-xcosx
  • D. sinx+xcosxCorrect

Explanation

Using the product rule: dy/dx = x d(sinx)/dx + sinx dx/dx = xcosx + sinx.

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