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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