The book "Methodological instructions and control tasks on the section "Differential calculus" of the course "Higher Mathematics" created by a team of authors is an indispensable resource for students studying higher mathematics . This publication not only helps to assimilate the complex concepts of differential calculus, but also serves as a practical guide to consolidate theoretical knowledge. Differential calculus is one of the fundamental topics in mathematics, which opens the door to understanding more complex mathematical concepts and their application in various fields of science and technology. The book presents guidelines that help students step by step to master the basic principles and rules of differentiation. Each task is carefully designed to not only test the knowledge, but also deepen the understanding of the material. This book will be especially useful for students of technical and natural sciences, as well as for anyone who wants to deepen their knowledge in the field of mathematics. If you are a student who is preparing for exams or just looking to improve your skills in mathematics, this publication will be your faithful assistant. It is suitable for both independent work and for use in the educational process. The topics covered in the book cover a wide range of issues, such as differentiation rules, application of derivatives, finding extremes of functions, and graph analysis. Each task is accompanied by detailed explanations, which makes the learning process more accessible and understandable. The book focuses on the practical application of theory, which is especially important for students who strive not only for theoretical knowledge, but also for their implementation in real-world tasks. The style of the authors is distinguished by clarity and accessibility of the presentation, which makes the material easy to perceive. They seek to explain complex concepts in simple language, which allows readers to quickly navigate the material and find answers to emerging questions. This quality makes the book attractive not only for students, but also for teachers who can use it as an auxiliary material in their classes. The book "Methodological instructions and control tasks for the section "Differential calculus" of the course "Higher Mathematics" stands on the shelf next to such well-known works as the "Course of Higher Mathematics" G. M. Fichtenholz