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

2 Answers
Sep 26, 2016

#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#

Sep 26, 2016

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#