don't understand at all...

find the slope of the tangent line to the curve y=xe^x at (1,e)

1 answer

What don't you understand.
This is very basic and fundamental Calculus, which is what you titled your post.

take derivative, that is your slope of the tangent.
Sub in x = 1 to get the numerical value of that slop

Use the method you learned in grade 8 or 9 to find the equation of the line, when you have the slope and a point on the line