Definition of Differentiable Function
Miscellanea / / July 04, 2021
By Florencia Ucha, in Jan. 2015
The concept of differentiable function that we will deal with below has a use excluding in the field of math.
In this field, precisely, a function turns out to be the relationship that is established between the components of a set that we will call A and the elements of another set called B. That is, what the function does is comply with the condition that the elements of A are linked to those of B. This is formally called a condition of existence. While the other leg of the functions is that the uniqueness condition is fulfilled, which proposes that each element of A is associated with a single component of the set B.
Meanwhile, there is talk of A differentiable function in mathematics to that measure of a function that is capable of changing its value quickly and untimely if the value of the independent variable changes.
It should be noted that it is calculated in a certain interval.
From the old Greece, although of course, with a certainly poor rigor as a consequence of being the first approaches and essays, it is that the mathematicians of this time and place dealt with the
theme, however, only in the century XVII strong progress would be made on this point.The British mathematician and researcher Isaac Newton, father of gravity, among other issues, he was one of the first to make fundamental contributions with regard to integral and differential calculations. Even Newton himself developed a system that he created to calculate the differentiable function.
Although it seems a not very affordable concept for the mean and that is limited to mathematics, this is by no means the case since this concept is applied in many fields such as fphysics, the economy, the sociology, the biology, among others, when it is necessary to measure speed with which the change of a situation or a magnitude occurs.
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