Extremum graphing question - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html) +--- Forum: HP Prime (/forum-5.html) +--- Thread: Extremum graphing question (/thread-7410.html) |
Extremum graphing question - lrdheat - 12-11-2016 05:39 PM On a graph of abs(cos X), is there a way for the graphing app function analysis to recognize minimum extremums? The app only recognizes maximums...seems to have difficulty with such a function defined at all X values that have a clear minimum f(X), but no defined f'(X) at those points. Is it possible for the graphing app to be designed to find these extremums? RE: Extremum graphing question - lrdheat - 12-12-2016 12:47 AM In graph app for abs(cos X), root does succeed where extremum fails in finding a value approximating a root (and labels it as an extremum!), but even this would fail if, instead, the function was abs(cos X) + 1. Could the graphing app be designed to have success with these sorts of functions? RE: Extremum graphing question - cyrille de brébisson - 12-12-2016 07:22 AM Hello, The failure is due to the fact that the calculator derivates and then tries to find a 0 of the derivative to find extremums. Since the derivative of abs is not defined in 0, it fails to find the 0. Cyrille RE: Extremum graphing question - Jan_D - 12-12-2016 11:52 AM The Advanced Graphing app finds the minima. In Numeric View choose: Trace – PoI –Vertical Extrema. It finds a minimum function value of 1.52655665886E-16, but it could be worse! |