Stuck on simple derivative, u(t)*t*e^(-5t), urnt?

  • Thread starter Thread starter mr_coffee
  • Start date Start date
  • Tags Tags
    Derivative Stuck
mr_coffee
Messages
1,613
Reaction score
1
Hello eveyrone, I think my brain just shut down, I'm confused on how i would take the derivative of this function i have circled below:
http://img100.imageshack.us/img100/1671/lastscan2vi.jpg

I know the chain rule, like if it was
t*e^(-5t) = e^(-5t) + t*(-5)e^(-5t)
 
Last edited by a moderator:
Physics news on Phys.org
(u_2 t e^{-7t})' = u_2' t e^{-7t} + u_2 (e^{-7t} + t (-7)e^{-7t})
 
Ahh thank u! I c it now! :biggrin:
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

Similar threads

Replies
1
Views
1K
Replies
3
Views
2K
Replies
4
Views
2K
Replies
17
Views
6K
Replies
1
Views
2K
Replies
3
Views
11K
Replies
1
Views
3K
Replies
1
Views
2K
Back
Top