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

##### 1 Answer

May 18, 2016

I found:

#### Explanation:

We can first find the coordinates of the point of intersection: knowing that

So we get

Next we try to evaluate the GRADIENT of the line perpendicular (normal).

We evaluate the derivative of the function:

Evaluate the derivative at

This is the slope

Finally we use the general equation of a line through a point and having slope equal to

Graphically: