Question

How do you differentiate `y=xe^2-e^x`?

Answer 1

`dy/dx=e^2-e^x`

Explanation:

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(d/dx(e^x)=e^x)color(white)(a/a)|)))`

Note also that `e^2"` is a constant.

`rArrdy/dx=e^2-e^x`

Answer 2

Remember that `e^2` is a constant. (It is about `2.7^2` which is about `7.3`)

Explanation:

We'll also need `d/dx(e^x) = e^x`

`dy/dx = d/dx(xe^2-e^x) = e^2-e^x`