Question about using the command „ExtremPoints“
I am using Maple 2019.
Using the command ExtremPoints I got different list when defining the function over a closed intervall piecewise or with f(x), x=a..b.
Maple desciption states:
ExtremePoints(f(x), x = a..b) command returns all extreme points of f(x) in the interval [a,b] as a list of values.
An extreme point is defined as any point which is a local minimum or maximum, which includes any finite end points.
So I expected, Maple returns the same list, independend of how the same function is defined (see example below). Instead: with the piecewise definition Maple returns as extrempoints only the local extrempoints without the finite endpoints.
Defining the same function with f(x),x=a..b Maple returns the list with local minimum or maximum, which includes any finite end points.
f := x -> piecewise(-1 <= x and x <= 2, x^2, undefined);
g := x -> x^2
ExtremePoints(g(x), x = -1 .. 2);
[-1, 0, 2]