Question

What is the derivative of `f(x)=e^(-6x)+e` ?

Answer 1

`-6e^(-6x)`

Explanation:

We can use the Chain Rule to differentiate this:

Re-write `e^(-6x)` as `(e^x)^(-6)`

Using the chain rule:

`-6(e^x)^(-7)*e^x+0`

`-6e^(-7x+x)=-6e^(-6x)`

Note the last term `e` is a constant.