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

Correct Answer: Option C

Explanation

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