What is the slope of the line normal to the tangent line of #f(x) = 1/(x^2-x+1) # at # x= 2 #?
slope of normal = 3
start by rewriting the function as
now using the chain rule to differentiate :
now f'(x) = slope of tangent line and evaluating gives :
then slope of the normal to the tangent is m = 3