Differentiation of a product check

[DBeckett91]

Homework Statement

s = 8sin(125t)e^-7t

Where the value of t is unknown

The Attempt at a Solution

u = 8sin(125t) du/dt = 1000cos(125t)

v = e^-7t dv/dt = -7e^-7t

ds/dt = v*du/dt + u*dv/dt

= (e^-7t * 1000cos(125t)) + (8sin(125t) * -7e^-7t)

Just need to know if my final answer is correct and if not where I have gone wrong. Thanks for any help that may be coming my way

 

[Pengwuino]

Yup that's right.