What is the slope of the line normal to the tangent line of #f(x) = e^(x^2-1)+3x-2 # at # x= 1 #?
the gradient of the normal at
To answer this question we need to find the slope of the tangent when
In order to this we need to evaluate
We don't need to simplify any more - just substitute
So the gradient of the tangent at
So the gradient of the normal at