What is the Meaning & Definition of function derivable

The concept of derivable function which we deal then has exclusive use in the field of mathematics. In this field, precisely, a function is the relationship between components in an Assembly called A and the elements of another array called B. In other words, the function is making to comply with the condition that the elements of A are linked with the B. This is called is formally as a condition of existence. While the other leg of the functions is to be fulfilled the condition of uniqueness that proposes that every element of A is associated with a unique component of the set B.
Meanwhile, it is derivable function in mathematics to the extent of a function that is capable of changing value quickly and untimely if it is to change the value of the independent variable.
It should be noted that it is calculated at a given interval.
From the ancient Greece, although clear, a rigorously certainly poor as a result of the first approaches and essays, is that mathematicians of this time and place dealt with the issue, however, it would only in the 17TH century move convincingly on this point.
The mathematician and British researcher Isaac Newton, father of gravity, among other issues, was one of the first to perform fundamental contributions in regards to the differential and integral calculations. Even the footballer Newton developed a system that it created to calculate the function derivable.
Although it seems a little affordable concept for the average and that is limited to mathematics this is not in any way since this concept is applied in many fields such as physics, economics, sociology, biology, among others, when it is necessary to measure the speed with which the change in a situation or a magnitude occurs.