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JAMB Mathematics 2008 Question 37

Question 37

Differentiation

Differentiate sin x − x cos x.

  1. A.x cos x
  2. B.x sin x
  3. C.−x cos x
  4. D.−x sin x
Show the answer and explanation

Answer: B (x sin x)

Explanation

d/dx(sin x) = cos x and d/dx(x cos x) = cos x − x sin x. So the derivative is cos x − cos x + x sin x = x sin x.