Production Functions of a Single Variable and Their Applications : Methodical instructions for the performance of control work”, created by the team of authors, is an indispensable resource for students and teachers studying the basics of mathematical analysis and its application in various fields of science and technology . This edition not only serves as a guide for performing control work, but also opens doors to the fascinating world of derivatives, showing how they affect our understanding of the world around us. The book focuses on derivatives of functions of one variable a key concept in mathematics, which lies at the heart of many scientific disciplines. The authors explain with clarity and accessibility what a derivative is, how to calculate it and what practical problems it can solve. In each section, readers will find not only theoretical foundations, but also a lot of examples that will help to consolidate the knowledge gained. This makes the book an ideal assistant for those who want not only to pass the test work, but also to understand the material more deeply. The book will be especially useful for students of technical and natural science specialties, as well as for anyone interested in mathematics and its applications. If you study at the Faculty of Physics, Engineering, Economics or even Biology, then this manual will be your faithful companion in the study of derivatives. It will also be of interest to teachers who are looking for quality guidance for their students. The topics raised in the book cover a wide range of issues, from basic concepts and rules of differentiation to more complex applications of derivatives in real-world problems. The authors focus on how derivatives are used to analyze functions, find extremes and solve applied problems. This makes the book not only a tutorial, but also a practical guide that will help readers apply the theory in practice. The style of presentation of the authors is clear and logical. They aim to make complex mathematical concepts understandable by using simple examples and illustrative illustrations. This approach allows the reader not only to learn the material, but also to develop analytical thinking, which is an important skill in any scientific activity. In addition, the team of authors includes experienced teachers and practitioners, which gives the book additional value. Their knowledge and experience in the field of mathematics and pedagogy make it possible to create a high-quality and relevant manual that meets the modern requirements of the educational process. If you are looking for books on mathematical analysis, differential equations or just want to improve your skills in mathematics, “Production Functions of a Single Variable and Their Applications” will be an excellent choice. This edition will not only help you to successfully complete the test work, but also give you the opportunity to understand more deeply how mathematics permeates our lives and what opportunities open before us. In conclusion, “Production Functions of One Variable and Their Applications: Guidelines for Performing Control Work” is not just a textbook, but a whole world of opportunities for students and teachers. It inspires the study of mathematics and its applications, emphasizing the importance of this science in our everyday experience. Do not miss the chance to immerse yourself in the fascinating world of derivatives and discover new horizons of knowledge!