You have two time rates of change given and you want the time rate of change of the third. Why not take the time derivative of each side?Please help to solve this question
View attachment 35541
Dear Sir,You have two time rates of change given and you want the time rate of change of the third. Why not take the time derivative of each side?
[imath]\dfrac{dV}{dt} = \dfrac{d}{dt} (IR)[/imath]
Give it a try and if you still having problems, post what you get.
-Dan
It is still complicated for me1. Apply the Product Rule to find \(\displaystyle \frac{dV}{dt}\) given that \(\displaystyle V=IR\).
2. Then look at what you are given, eg you are given \(\displaystyle \frac{dR}{dt}=0.03\) ohms/s and what else?
3. And look at what you are asked to find, ie you are asked to find \(\displaystyle \frac {dI}{dt}\) for a given value of R and I.
As Topsquark said, give it a try, and ask for more help if you need it.
Yes ThanksI do not think you are ready for a course in differential equations because you seem to have trouble with basic differential calculus.
[math]y = uv \implies y’ = uv’ \text { PLUS } vu’[/math]
If the voltage is decreasing, what is the sign of dV/dt?Yes Thanks
Can you check that it is correct right now
Yes I got itIf the voltage is decreasing, what is the sign of dV/dt?
-Dan
Yes. Now finish it.Yes I got it
Please check now it is correct
Thanks for grate helpYes. Now finish it.
-Dan
Are you believe that anything to be changed . Can you please pointed outIn you work from post #14 how are both the 3rd and 4th line both valid??
I did not get it , Can you please solve it all the steps for me . It is great helpThe 3rd line in the attachment (response# 13) is INCORRECT - and should be removed. The 4th line of that response is correct.
The derivative of f(x)g(x) is NOT f'(x)*g'(x).I did not get it , Can you please solve it all the steps for me . It is great help