You’ve got it the wrong way round. “A derivative is a division by zero” is the pedagogical lie for introductory students (probably one that causes more confusion than it solves), and advanced maths doesn’t require it.
You’ve got it the wrong way round. “A derivative is a division by zero” is the pedagogical lie for introductory students (probably one that causes more confusion than it solves), and advanced maths doesn’t require it.