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JAMB Mathematics 2007 Objective — Question 36

Question 36 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.

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If y=x.cos(x), find dy/dx.

  • A. cos(x)+x.sin(x)
  • B. cos(x)-x.sin(x)Correct
  • C. sin(x)-x.cos(x)
  • D. sin(x)+x.cos(x)

Explanation

Using the product rule: dy/dx = x(-sin x) + cos(x)(1) = cos(x) - x.sin(x).

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