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

##### 1 Answer

Aug 1, 2017

#### Explanation:

First find the equation of the line TANGENT to the function at the point; then find the equation of the line that passes through that point but has a perpendicular slope.

#f(1) =1^2-1+2 = 2#

We now have the point and the slope of the line tangent to

Simplified tangent line:

Since the slope is

Simplified normal line: