А.Е.Әбілқасымова, З.А.Жұмағұлова, Л.У.Жадраева. Есептер жинағы. Алгебра және анализ бастамалары 10-сынып. 2014
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А.Е.Әбілқасымова
З.А.Жұмағұлова
Л.У.Жадраева.
ҰБТ
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ҚТЛ дайындық есептер жинағы
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А.Е.Әбілқасымова, З.А.Жұмағұлова, Л.У.Жадраева. Есептер жинағы. Алгебра және анализ бастамалары 10-сынып. 2014
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Entries
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Introduction
Other
Page 4
Exercises for reviewing the Grade 8–9 algebra course
Problem
Page 5
Chapter I. Function, its properties and graph
Theory
Page 12
§ 1. Concept of a function and ways of defining it
Theory
Page 12
§ 2. Simple transformations of a function graph
Theory
Page 15
§ 3. Properties of a function
Theory
Page 16
§ 4. Studying a function and plotting its graph
Theory
Page 21
Chapter II. Trigonometric functions
Theory
Page 23
§ 5. Main properties and graphs of trigonometric functions
Theory
Page 23
§ 6. Inverse trigonometric functions
Theory
Page 26
Chapter III. Trigonometric equations and inequalities
Theory
Page 30
§ 7. Simple trigonometric equations and their solution
Theory
Page 30
§ 8. Methods for solving trigonometric equations and their systems
Theory
Page 33
§ 9. Solving trigonometric inequalities
Theory
Page 37
Chapter IV. Derivative
Theory
Page 40
§ 10. Concept of the limit of a function
Theory
Page 40
§ 11. Definition of the derivative
Theory
Page 44
§ 12. Rule for calculating derivatives
Theory
Page 45
§ 13. Physical and geometric meaning of the derivative. Tangent to a function graph
Theory
Page 46
§ 14. Derivative of a composite function
Theory
Page 54
§ 15. Derivatives of trigonometric functions
Theory
Page 56
§ 16. Approximate calculations
Theory
Page 58
Chapter V. Application of the derivative
Theory
Page 59
§ 17. Criteria for increasing and decreasing functions
Theory
Page 59
§ 18. Critical points and extrema of a function
Theory
Page 65
§ 19. Studying a function using the derivative and plotting its graph
Theory
Page 67
§ 20. Greatest and least values of a function
Theory
Page 69
Chapter VI. Elements of combinatorics. Newton's binomial theorem
Theory
Page 74
§ 21. Basic elements of combinatorics
Theory
Page 74
§ 22. Newton's binomial theorem
Theory
Page 75
§ 23. Application of combinatorics and Newton's binomial theorem in probability theory
Theory
Page 76
Answers
Answer
Page 79
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