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Mathematics
Mathematics formulas
100 formulas across 15 topics.
Absolute value
3 formulas
Powers and roots
7 formulas
Logarithms
5 formulas
Special products
5 formulas
Quadratic function
7 formulas
Sequences
7 formulas
Compound interest
1 formula
Trigonometry
9 formulas
Plane geometry
12 formulas
Analytic geometry
10 formulas
Solid geometry
8 formulas
Combinatorics
5 formulas
Probability
7 formulas
Statistics
4 formulas
Derivatives
10 formulas
All mathematics formulas
Absolute value
Definition of absolute value
Properties of absolute value
Inequalities with absolute value
Powers and roots
Product of powers with the same base
Quotient of powers
Power of a power
Power of a product
Power with a negative exponent
Root as a fractional power
Root of a product
Logarithms
Definition of a logarithm
Logarithm of a product
Logarithm of a quotient
Logarithm of a power
Change of base of a logarithm
Special products
Square of a sum
Square of a difference
Difference of squares
Cube of a sum
Sum and difference of cubes
Quadratic function
Standard form
Discriminant
Roots (zeros)
Vertex form
Vertex coordinates
Factored form
Vieta's formulas
Sequences
Arithmetic sequence — nth term
Sum of an arithmetic sequence
Middle term property (arithmetic)
Geometric sequence — nth term
Sum of a geometric sequence
Middle term property (geometric)
Sum of a convergent geometric series
Compound interest
Balance with compound interest
Trigonometry
Trigonometric functions in a right triangle
Pythagorean trigonometric identity
Tangent as a ratio
Sine of a double angle
Cosine of a double angle
Sine of a sum or difference of angles
Cosine of a sum or difference of angles
Radian measure
Sum and difference of sines
Plane geometry
Pythagorean theorem
Law of sines
Law of cosines
Area of a triangle (base and height)
Area of a triangle (two sides and the included angle)
Heron's formula
Area of an equilateral triangle
Area of a circle
Circumference of a circle
Arc length
Area of a circular sector
Thales's theorem (intercept theorem)
Analytic geometry
Distance between two points
Midpoint of a segment
Slope-intercept equation of a line
Slope from two points
Condition for parallel lines
Condition for perpendicular lines
Distance from a point to a line
Equation of a circle
Magnitude of a vector
Dot product
Solid geometry
Volume of a prism
Volume of a pyramid
Volume of a cylinder
Surface area of a cylinder
Volume of a cone
Surface area of a cone
Volume of a sphere
Surface area of a sphere
Combinatorics
Permutations
Variations without repetition
Variations with repetition
Combinations (binomial coefficient)
Binomial theorem
Probability
Classical probability
Probability of the complementary event
Probability of the union of events
Conditional probability
Bernoulli scheme
Expected value
Variance of a random variable
Statistics
Arithmetic mean
Variance
Standard deviation
Median
Derivatives
Definition of the derivative
Derivative of a power
Derivative of a constant
Derivative of a sum
Derivative of a product
Derivative of a quotient
Equation of the tangent line to a graph
Definite integral (area under a curve)
Derivatives of elementary functions
Basic integrals
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