- #1
Missy
- 11
- 1
Homework Statement
[/B]
I need to differentiate the exponential function i = 12.5 (1-e^-t/CR) and I need to plot a table so that I can do a graph of i against t but I'm not sure how. (CR is the equivelant of Capacitance 20 Micro Fards and Resistance 300 Kilo Ohms)
Homework Equations
[/B]
How do I differentiate this expression if it doesn'f follow the normal rules of differentiation (as follows)
1. y=ax^n becomes dy/dx = nax ^(n-1)
2. y = sinx becomes dy/dx = cosx
3. y = Ksinax becomes dy/dx = Kacosax
4. y = kcosax becomes kasinax
5. y = alnx becomes dy/dx = a/x
The Attempt at a Solution
[/B]
i = 12.5 (1-e^-1/cr)
i = 12.5 (1-e^-1/300000*0.00002)
i = 12.5 (1-e^-0.167)
i = 12.5 (1-e^-0.167/1)
i = 12.5 e^-0.167
i = 2.09e^0.154