Extremum graphing question

12112016, 05:39 PM
Post: #1




Extremum graphing question
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? 

12122016, 12:47 AM
Post: #2




RE: Extremum graphing question
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? 

12122016, 07:22 AM
Post: #3




RE: Extremum graphing question
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 Although I work for the HP calculator group, the views and opinions I post here are my own. I do not speak for HP. 

12122016, 11:52 AM
Post: #4




RE: Extremum graphing question
The Advanced Graphing app finds the minima.
In Numeric View choose: Trace – PoI –Vertical Extrema. It finds a minimum function value of 1.52655665886E16, but it could be worse! 

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