Derivative and its Application

Derivative is a very powerful and useful tool for solving practical problems and developing basic theories in natural sciences such as mathematics, physics, etc., because of its geometric and physical meaning.Differentiation, which occupies an important place in the consideration of analytical properties of functions that describe relationships between variables, allows us to consider the concrete properties of functions.There are many books that describe about the Analysis of Mathematics, but their content is so vast that they have not been described in detail and in depth.This book begins with the concept definition of the derivative and differentiation, and it is organized to describe its details and variety so that readers can systematize their knowledge of derivative and its applications. And the Taylor formula, which is the basis for the approximation, and the L’Hospistal’s rule, which is a powerful method of limiting calculations, are described.Based on the analysis of the differentiability of a function, a graph is finally constructed to show the graphical properties of the function.