Hi I teach math,
And I seek help to make the following.
Lets say you have a function f(x)=x^3-x^2-4*x+12 and you want make a Maple demonstration which shows the students first how they find the extreme-points of this function by first solving f'(x) = 0 -> 3x^2 - 2*x - 4=0 and then taking the two extreme points and calculating the slope the tangent on their respective left and right side of the point x =. And then outputting.
Since the slope of the tangent on the left side x = .... is positive and the slope of the right to the right of the point is negative, then x = ..... is a local max.
Since the slope of the tangent on the left side x = .... is negative and the slope of the right to the right of the point is positive, then x = ..... is a local minimum.
I know that this can be done using FunctionAnalysisTutor from the StudentCalculus1, but since I teach student whos first language is english, I would to be able to do a worksheet/document which shows the above mentioned textoutput. It is possible? If yes if anyone has ideer howto do this? I would very much appriciate some input.