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JAMB Mathematics 1999 Question 36

Question 36

Differentiation

What is the derivation of t2 sin(3t − 5) with respect to the variable t?

  1. A.6t cos (3t − 5)
  2. B.2t sin (3t − 5) − 3t2 cos (3t − 5)
  3. C.2t sin (3t − 5) + 3t2 cos (3t − 5)
  4. D.2t sin (3t − 5) + t2 cos 3t
Show the answer and explanation

Answer: C (2t sin (3t − 5) + 3t2 cos (3t − 5))

Explanation

Product rule: 2t × sin(3t − 5) + t² × 3cos(3t − 5).