Thread: HELP differentation

v=340*e^-2t sin wt where f=4Hz so w= 8pi

1) find the rate of change of v with respect to t at t=15ms

2) sketch the waveform of v for t=0 to 1s

Originally Posted by bobbym

v=340*e^-2t sin wt where f=4Hz so w= 8pi

1) find the rate of change of v with respect to t at t=15ms

2) sketch the waveform of v for t=0 to 1s

Just evalute from here Remember that 15ms =0.015s

Here is a graph

did u use the chain rule to do the 1st part if so what are the steps for it please

when i differentiate v=340*e^-2t sin wt where f=4Hz so w= 8pi with repect to t do i used the chain rule if so what are the steps to differentiating it

Originally Posted by bobbym

did u use the chain rule to do the 1st part if so what are the steps for it please

is a product so the product rule was used.

what are the steps to doing the product rule on this equation please

Originally Posted by bobbym

what are the steps to doing the product rule on this equation please

Are you familiar with the product rule? Have you used it before?

i have used it a few times and get the basics of it but have not done 1 this complicated

Originally Posted by bobbym

i have used it a few times and get the basics of it but have not done 1 this complicated

h(t) = f(t) g(t) => h'(t) = f(t) g'(t) + f'(t) h(t).

In your case f(t) = 340 e^{-2t} and h(t) = sin (wt).

Get f'(t) and g'(t). Substitute f(t), f'(t), g(t) and g'(t) into the rule.

what wud that look like with my figures in plz

Originally Posted by bobbym

what wud that look like with my figures in plz

Go back and read post #2.