According to the definition of the derivative of a function, it is:

f'(x) = lim_{h?0} (f(x+h)-f(x))/h Calculate the derivative of the following functions following the limit process, then evaluate at a point x (chosen by the student) and, finally, using GeoGebra by graphing the tangent line to the original function and its slope at the chosen x point, carry out its verification and graphical analysis. Remember that one of the elements to be evaluated in the activity is the graphical analysis in GeoGebra.

f (x -3. x 2 + 5x - 6f ( x ) = sen (2xz - 3x) + In x/+1