2.4 Exponential Functions

Comment on Activity 6

You should have found that


`d/(dt) e^(2t)=2e^(2t)`, `d/(dt) e^(3t)=3e^(3t)`, and `d/(dt) e^(4t)=4e^(4t) text(.)`

This suggests the general formula

`d/(dt) e^(kt)=ke^(kt)`.

This is a special case of a much more general differentiation formula, the Chain Rule, which we take up in Chapter 4.