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

##### 1 Answer

Jan 8, 2016

slope of normal = 3

#### Explanation:

start by rewriting the function as

now using the chain rule to differentiate :

now f'(x) = slope of tangent line and evaluating gives :

using

then slope of the normal to the tangent is m = 3