Cribs and Formula

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Table of all the basic EGE formulas

Table of all the basic EGE formulas

Cheat sheet for math for EGE

Cheat sheet for math for EGE

Compilation of formulas for 11th grade

Compilation of formulas for 11th grade

Old good Soviet cheat sheet

Old good Soviet cheat sheet

Collection of formulas for elementary mathematics

Collection of formulas for elementary mathematics

Formulas for derived functions

Formulas for derived functions

Table of antipodes

Table of antipodes

Trigonometry and area of ​​figures

Trigonometric circle

Trigonometric circle

Sine, cosine, tangent ...

Sine, cosine, tangent ...

Trigonometry formulas

Trigonometry formulas

Geometry. Square of figures

Geometry. Square of figures

Geometry on USE in mathematics. Triangles, quadrangles, circles.

Heights, medians, bisectors

Heights, medians, bisectors

Parallelogram, rhombus, square and their properties

Parallelogram, rhombus, square and their properties

Tangent to a circle

Tangent to a circle

Central and inscribed angles

Central and inscribed angles

Stereometry: formulas for volume and surface area.

Inscribed and described triangles

Inscribed and described triangles

Inscribed and described quadrangles

Inscribed and described quadrangles

Stereometry: Formulas of volume and surface area

Stereometry: Formulas of volume and surface area.

Drawings in problems of stereometry

Drawings in problems of stereometry

Classical stereometry and coordinate method

Fundamentals of stereometry. Part 1

Fundamentals of stereometry. Part 1.

Fundamentals of stereometry. Part 2

Fundamentals of stereometry. Part 2.

Stereometry: Vectors and coordinates

Stereometry: Vectors and coordinates.

How to arrange a rectangular coordinate system

How to arrange a rectangular coordinate system.

Algebra

Derivative table

Derivative table.

Transforming function graphs. Problem C5

Transforming function graphs. Problem C5.

Formulas of abridged multiplication

The square of the sum:
(A + b ) 2= a 2+ 2 ab + b 2

Square of the difference:
(A - b ) 2= a 2- 2 ab + b 2

Cube amount:
(A + b ) 3= a 3+ 3 a 2b + 3 b 2a + b 3

Cube difference:
(A - b ) 3= a 3- 3 a 2b + 3 b 2a - b 3

The Binom-Newton formula:
(A + b ) n= C 0na n+ C 1na n - 1b + ... + C kna n - kb k+ C nnb n , the coefficients C kn= n ! / [ K ! ( N? K )!]

Sum of squares:
A 2+ b 2 - does not decompose

Difference of squares:
A 2- b 2= ( a - b ) ( a + b )

Sum of cubes:
A 3+ b 3= ( a + b ) ( a 2- ab + b 2)

Cube difference:
A 3- b 3= ( a - b ) ( a 2+ ab + b 2)

Trigonometric formulas

Trigonometric formulas

Progression

Arithmetic progression Arithmetic progression

Degrees and roots

Formulas for powers and roots

Logarithms

Formulas for logarithms

Limits

Basic rules for finding limits

The limit of constant value is equal to a constant value:

Limit of a constant

The limit of the sum is equal to the sum of the limits:

Limit of the sum

The difference limit is equal to the difference of limits:

Difference limit

The limit of the product is the product of the limits:

Limit of a work

The limit of the ratio is equal to the ratio of the limits:

Limit of attitude

Limit of function to degree:

Function limit

Root limit of the function:

The limit of a root of a function


Basic Limits

First remarkable limit:

First remarkable limit

The second remarkable limit:

Second remarkable limit

Other useful limit formulas are:

Limit formulas


Infinitely small

The equivalence of infinitesimals:

Equivalence of infinitesimal

Derivative table

Basic rules of differentiation

Derivative constant:

Constant derivative

The derivative of the sum is equal to the sum of the derivatives:

Derivative of the sum

The derivative of the difference is equal to the difference of the derivatives:

Difference derivative

Derivative of the work:

Derivative of a work

Derivative fraction:

Derived fraction

Derivative of a complex function:

Complex function derivative


Formulas for differentiation of certain elementary functions

Power function:

Derivative of a power function

Root:

Root derivative

Exponential and logarithmic functions:

Derivative of the exponential and logarithmic functions

Trigonometric functions:

Derivative of trigonometric functions

Exponential-power function:

Derivative of exponential-power function