@caleharnish you would find maximum curvature the same way you would max\min any other function. set the first order derivatives (of the curvature function) equal to zero and solve
@caleharnish Haven't covered that yet in my course, but surely you just find the curvature function Κ(t) or Κ(s), differentiate it w.r.t. its input, set that derivative to zero, and go through the min/max process you learned in Calc I (critical points, 2nd derivative test perhaps...).
This is one of the best videos I could find on YouTube about this subject. Kudos sir. I can't seem to find a video about finding a point of maximum curvature using these equations. Could you consider doing a video of that process?
really helpful thanks
alejandro5512 5 months ago
@caleharnish you would find maximum curvature the same way you would max\min any other function. set the first order derivatives (of the curvature function) equal to zero and solve
weweallthewayhome 6 months ago
@caleharnish Haven't covered that yet in my course, but surely you just find the curvature function Κ(t) or Κ(s), differentiate it w.r.t. its input, set that derivative to zero, and go through the min/max process you learned in Calc I (critical points, 2nd derivative test perhaps...).
aristotleschild 1 year ago
This is one of the best videos I could find on YouTube about this subject. Kudos sir. I can't seem to find a video about finding a point of maximum curvature using these equations. Could you consider doing a video of that process?
caleharnish 2 years ago