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?
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?
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
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!