What is the slope of the line normal to the tangent line of #f(x) = x^2e^(x-1)+2x # at # x= 1 #?
To find the slope of the normal line, first find the slope of the tangent line at
To find the derivative, you will have to use the product rule.
The slope of the tangent line is the value of the derivative at a certain point. In this case it is
Since the slope of the tangent line is