What is the equation of the normal line of #f(x)= 1/xe^(-x^3+x^2) # at #x=-1#?
You start by finding the first derivative .
by substituting with
so the y co_ordinate of the point =
and the slope of the tangent ( m ) at
but We don't want the slope of the tangent, We want the slope of the normal.
The slope of the normal =
so it will be
and to get the equation of the straight line
and by simplification you get: