Question

How do you differentiate `e^(-x)`?

Answer 1

`-e^-x`

Explanation:

Using the standard derivative `color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(e^x)=e^x)color(white)(a/a)|)))`

combined with the`color(blue)" chain rule"`

`rArrd/dx(e^-x)=e^-x.d/dx(-x)=-e^-x`