Differential Calculation

Description

With this free 82 video lessons course you will learn about the most important concepts of Differential Calculation

Differential calculation is a part of infinitesimal calculation and mathematical analysis that studies how continuous functions change according to their variables change state. The main object of study in the differential calculation is the derivative. A closely related notion is that of a function's differential.

The study of the change of a function is of particular interest for the differential calculation, in particular the case in which the change of variables is infinitesimal, that is, when that change tends to zero (it becomes as small as desired). Differential calculation is constantly based on the basic concept of the limit. The move to the limit is the main tool that allows to develop the theory of differential calculation and the one that clearly differentiates it from algebra. From a philosophical point of view of functions and geometry, the derivative of a function at a certain point is a measure of the rate at which a function changes as an argument is modified. That is, a derivative involves, in mathematical terms, an exchange rate. A derivative is the calculation of the instantaneous slopes of .displaystyle f(x)-f(x) at each point. This corresponds to the slopes of the tangents of the graph of that function at its points (one tangent per point); Derivatives can be used to know the concavity of a function, its growth intervals, its highs and lows. The inverse of a derivative is called primitive, anti-derivative, or integral.