The book "Exploration of functions and construction of graphs by methods of differential calculus", created by the team of authors, is a fascinating and deep immersion in the world of mathematical analysis. This publication will become an indispensable assistant for students, teachers and anyone interested in mathematics and its applications in various fields of science and technology. The book focuses on the functions and their graphs, which are fundamental elements in the study of mathematics. The authors offer readers not only theoretical knowledge, but also practical methods that allow them to explore functions using differential calculus. This edition covers a wide range of topics ranging from the basics of function definition to more complex concepts such as extremums, inflection points, and asymptotes. The reader will be able to learn how to find derivatives, analyze the behavior of functions and build their graphs, which is an important skill not only in school, but also in professional activities. The book will be especially useful for students of mathematical and engineering specialties, as well as for anyone who is preparing for exams or wants to deepen their knowledge in the field of analysis. It will also be suitable for teachers who are looking for high-quality materials for preparing lessons, and mathematics lovers who are striving for self-improvement. Thanks to the available language and clear explanations, even those who are just beginning to get acquainted with differential calculus will be able to easily assimilate the material. The topics raised in the book cover not only theoretical aspects, but also practical applications. The authors highlight the importance of understanding functions in real life, showing how mathematical models can describe physical phenomena, economic processes, and even biological systems. This makes the book particularly relevant for those who want to see how mathematics interacts with other sciences and how it helps solve real-world problems.[citation needed] The style of the authors is distinguished by clarity and logical presentation, which allows readers to easily follow the thought and assimilate complex concepts. The team of authors includes experienced teachers and practitioners, which gives the book additional value. Their previous work has also received recognition in the academic environment, and this publication will not be an exception. It can become the basis for further study of more complex topics in mathematics, such as integral calculus or multidimensional analysis. If you are looking for a book that will help you not only to master differential calculus, but also to develop analytical thinking, “Exploring Functions and Charting by Differential Calculus Methods” is exactly what you need. It will become a reliable companion on your way to mathematical mastery and will open new horizons in understanding functions and their schedules. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics with this book. It will help you not only to prepare for exams, but also to develop skills that will be useful in your future career. Explore functions, build graphs and discover the amazing world of differential calculus with this wonderful book!