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OAU Post-UTME Mathematics 2014 Question 21

Question 21

Differentiation

Differentiate 2 − sin(2 − ax) with respect to x

  1. A.acos(2 − ax)
  2. B.−asin(2 − ax)
  3. C.−acos(2 − ax)
  4. D.−asin(2 − ax)
Show the answer and explanation

Answer: A (acos(2 − ax))

Explanation

The derivative of −sin(2 − ax) is −cos(2 − ax) × (−a) = a cos(2 − ax); the constant 2 gives 0.