Producing and Differentiating Functions of One and Several Variables . Educational-methodical manual on the discipline "Mathematics" by Volchetskaya T. C. , Mukhacheva A. A. and the pankina and . Yu. is a unique resource for students, teachers and anyone seeking to deepen their knowledge in the field of mathematical analysis. This manual not only covers the basic concepts of derivative and differential, but also offers readers a structured approach to the study of these key concepts of mathematics, making it indispensable in the learning process. The book begins with the basics, explaining what a derivative is and how it is applied in various fields of science and technology. The authors pay special attention to the intuitive understanding of these concepts, which is especially important for students who may encounter difficulties in perceiving abstract mathematical ideas. The reader will learn how the derivative can be used to analyze the behavior of functions, find extremes and solve practical problems, which makes the material not only theoretically significant, but also practically useful. One of the strengths of this manual is its accessibility to a wide audience. The book will be of interest to both students of technical specialties and those who study mathematics in humanitarian fields. It is suitable for both beginners and more experienced readers who want to refresh their knowledge or delve into the topic. The manual can also be useful for teachers who are looking for quality materials to prepare for classes or to create their own training courses . The topics raised in the book cover not only theoretical aspects, but also practical applications of derivative and differential. The authors consider various methods of finding derivatives, including differentiation rules, and discuss their application to real-world problems. This makes the manual relevant for students who are preparing for exams or test papers, as well as for those who want to apply mathematics in their professional activities. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily follow the course of thought and absorb the material. Each section is accompanied by examples and tasks that help to consolidate the knowledge gained. The authors also offer solutions to problems, which is an excellent tool for self-testing and in-depth understanding of the topic. Volchetskaya T. C. , Mukhachev A. A. and Pankina I. Yu. are known for their research papers and teaching aids in mathematics, and this edition was no exception. Their experience and deep knowledge in mathematics make this manual a reliable source of information. The book can be an important element in the library of every student studying mathematics, and will also be useful for teachers seeking to create a quality learning process. If you are looking for a high-quality math tutorial that will help you understand the derivative and differential functions of one or more variables, this edition will be an excellent choice. It will not only expand your knowledge, but also inspire you to further study mathematics, opening up new horizons for understanding this amazing science. Do not miss the opportunity to add this book to your collection and take a step towards a deeper understanding of mathematics!