script that checks if two function have an intersections point?
I have piecewise function and have made geogebra write it as two functions f and g with respect to to their domains.
Sequence 1 tests whether their exists a point where
Sequence 2 tests whether if their derivatives are different for all points in their domain.
What I would like to do is make a script which can take both sequences and test them on two functions, and then return the point from sequence 1 (if it exists).
And for sequence two either return the text (The function f-g is smooth) if their derivatives don't equal. Or if the is a point where the derivates equal either show this point of their tangents in this points.
My first attempt of problem 1
if(Sekvens(f(j) ≟ g(j), 1, 1), f(t))
Problem here is that it works for one specific function and not for all.
So any idears/thoughts? :)