What is the slope of the line normal to the tangent line of f(x) = x^2e^(x-1)+2x-2 f(x)=x2ex−1+2x−2 at x= 1 x=1?
1 Answer
Jul 18, 2018
Explanation:
We know that a normal line is orthogonal to a tangent line, so we should find the slope of the tangent line first, then find the slope orthogonal to it.
The slope of the tangent line is just the derivative:
Two orthogonal lines have
so