# What is the equation of the normal line of #f(x)= 1/xe^(-x^3+x^2) # at #x=-1#?

##### 1 Answer

Apr 6, 2018

#### Explanation:

You start by **finding the first derivative** .

by **substituting** with **the function and the first derivative** you get the **y co_ordinate** of the point that lies on the normal line and the slope of the tangent to the curve ( **m** )

so the **y co_ordinate** of the point =

and the slope of the tangent ( **m** ) at

but We don't want the slope of the tangent, We want the slope of the normal.

The slope of the normal =

so it will be

and to get the equation of the straight line

and by simplification you get: