What is the slope of #f(x)=xe^(x-x^2) # at #x=-1#?
1 Answer
Feb 16, 2016
The slope of the function at x=-1 is
Explanation:
In order to find the slope of a function,we have to firstly determine its derivative.
so,
Applying product rule,
so,
We know...
and,
Applying chain rule,
let
We get,
Substituting back
=
=
Simplifying it,
Finally when