Wrong Derivative Result !

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Permalink Reply by David Rutten on December 27, 2016 at 2:32pm

There is no reason why the first and second derivatives would be perpendicular to each other. If the parameter 'speed' of the curve is constant then yes, but it probably isn't.

The tangency and curvature direction will be perpendicular, but they are not quite the same as the first and second derivative. I think it's easiest if you just get the tangency and curvature vectors instead.

Permalink Reply by Farhang Malek on December 27, 2016 at 2:37pm

Great !! I didn't know about those two components.

Thanks a lot.