Derivative of the Function f(x) = 1/x with the Definition of Derivative (Classroom Lesson)

In this video, taken from the lesson held on November 12, 2024 with the 5AMEC class, we will see how it is possible to obtain, through the definition of derivative (limit of the incremental ratio when the increment tends to 0), the first derivative of the function f(x) = 1/x.
The result found can be seen as a particular case of the general case relating to the derivatives of power functions with real exponent, a topic covered (with natural exponent) in this video: • Derivata della Funzion... .
For a full understanding of what is covered in this lesson, it is important to have well assimilated the concept of incremental ratio ( • Il Rapporto Incrementale ).
This is the outline of this lesson:
00:00 Introduction