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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #546)