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What is the derivative of t2 sin (3t - 5) with respect to t?

Mathematics
JAMB 1999
What is the derivative of t2 sin (3t - 5) with respect to t?
  • A. 6t cos (3t - 5)
  • B. 2t sin (3t - 5) - 3t2 cos (3t - 5)
  • C. 2t sin (3t - 5) + 3t2 cos (3t - 5)
  • D. 2t sin (3t - 5) + t2 cos 3t
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Correct Answer: Option C
Explanation
t2 sin (3t - 5) = 2t sin ( 3t - 5) + t2 x 3 cos (3t - 5) = 2t sin (3t - 5) + 3t2 cos (3t - 5).

Detailed answer below was provided by Ifechuks, a female prospective student of Okopoly.
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