# 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