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Cheat Sheets and Formulas

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A table of all the main formulas of the exam

A table of all the main formulas of the exam

Crib in mathematics for the exam

Crib in mathematics for the exam

Collection of formulas for grade 11

Collection of formulas for grade 11

Good old Soviet crib

Good old Soviet crib

Collection of formulas in elementary mathematics

Collection of formulas in elementary mathematics

Formulas for Derived Functions

Formulas for Derived Functions

Table of primitives

Table of primitives

Trigonometry and Square Shapes

Trigonometric circle

Trigonometric circle

Sine, cosine, tangent ...

Sine, cosine, tangent ...

Trigonometry formulas

Trigonometry formulas

Geometry. Square shapes

Geometry. Square shapes

Geometry on the exam 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 the circle

Tangent to the circle

Central and inscribed corners

Central and inscribed corners

Stereometry: volume and surface area formulas.

Triangles inscribed and described

Triangles inscribed and described

Inscribed and described quadrilaterals

Inscribed and described quadrilaterals

Stereometry: Formula volume and surface area

Stereometry: Formulas for volume and surface area.

Drawings in tasks on stereometry

Drawings in tasks on stereometry

Classical stereometry and coordinate method

Basics of stereometry. Part 1

Basics of stereometry. Part 1.

Basics of stereometry. Part 2

Basics 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

Derivatives Table

Derivatives table.

Conversion of graphs of functions. Task C5

Conversion of graphs of functions. Task C5.

Abbreviated Multiplication Formulas

Amount square:
( a + b ) 2= a 2+ 2 ab + b 2

Difference squared:
( a - b ) 2= a 2- 2 ab + b 2

Amount Cube:
( a + b ) 3= a 3+ 3 a 2b + 3 b 2a + b 3

Difference Cube:
( a - b ) 3= a 3- 3 a 2b + 3 b 2a - b 3

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

Sum of squares:
a 2+ b 2 - cannot be expanded

The 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 degrees and roots

Logarithms

formulas for logarithms

Limits

Basic rules for finding limits

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

constant limit

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

amount limit

The difference limit is the difference of the limits:

difference limit

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

work limit

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

relationship limit

Limit function in degree:

limit of function to degree

Root limit of function:

limit of the root of the function


Basic limits

First wonderful limit:

first wonderful limit

The second remarkable limit:

second wonderful limit

Other useful limit formulas are:

formula limits


Infinitely small

Equivalence of infinitely small:

equivalence of infinitely small

Derivatives Table

Basic rules for 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:

derivative of the difference

Derivative product:

derivative of the work

Derivative fraction:

fractional derivative

The derivative of a complex function:

derivative of a complex function


Formulas for differentiation of some elementary functions

Power function:

derivative of a power function

Root:

root derivative

Indicative and logarithmic functions:

derivative of exponential and logarithmic function

Trigonometric functions:

derivative of trigonometric functions

Indicative-power function:

derivative of exponential-power function