given a twice differentiable function y = f(x), determine its curvature at a relative extremum. Can the curvature ever be greater than it is at a relative extremum? why or why not....
given a twice differentiable function y = f(x), determine its curvature at a relative extremum. Can the curvature ever be greater than it is at a relative extremum? why or why not....
i cannot picture this????
The curvature of a plain curve given by an explicit equation is:
so at a local extremum , so the curvature becomes:
at such a point.
The curvature can be smaller than that at a local extrema, but I will leave it to you to work out why.