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If s 2 3t 5t - 4 find s dt when t 4 5 secs - JAMB Mathematics 2009 Question

If s = (2 + 3t)(5t - 4), find s/dt when t = 4/5 secs
A
0 units per sec
B
15 units per sec
C
22 unit per sec
D
26 units per sec
correct option: c

x = (2+3t)(5t-4)

Let u = 2+3t ∴du/dt = 3

and v = 5t-4 ∴dv/dt = 5
dx/dt = Vdu/dt + Udv/dt

= (5t-4)3 + (2+3t)5

= 15t - 12 + 10 + 15t

= 30t - 2

= 30x4/5 - 2

= 24 - 2

= 22

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