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# Examples

Solved Examples

Algebra
 Exponents ⦿ Powers [11]
 Roots ⦿ Simplifying [9]⦿ Root elimination [6]⦿ Complex exercises [2]
 Irrational Equations ⦿ Négyzetgyököt tartalmazó egyenletek [4]⦿ Köbgyököt tartalmazó egyenletek [3]
 Exponential equations and inequalities ⦿ Exponential equations [6]⦿ Exponenciális inequalities
 Logarithm
 Polynomials ⦿ Division of polynomial [1]⦿ Vieta's formulas ⦿ Polynomial with real coefficients
 Komplex százmok ⦿ Komplex számok összeadása-kivonása [4]⦿ Komplex számok szorzása [1]⦿ Komplex számok osztása [2]⦿ Komplex számok hatványozása [2]⦿ Komplex számok gyökvonása ⦿ Összetett feladatok [2]
 Mathematical induction
 Progressions ⦿ Arithmetic progressions ⦿ Geometric progressions
Mathematical analysis
 Important functions
 Derivation ⦿ Derivative of exponential functions [6]⦿ Derivatives of trigonometry functions [10]⦿ Derivatives of logarithmic functions [2]⦿ Derivatives of a products [1]⦿ Derivatives of a fractions [1]⦿ Derivatives of composite functions [5]
 Integration ⦿ Basic integrals [3]⦿ Integration by substitution ⦿ Integration by parts ⦿ Integrals of rational functions ⦿ Integrals of trigonometric functions ⦿ Integrals of exponential and hyperbolic functions
Geometry
 Two-dimensional geometric shapes ⦿ Triangle [1]⦿ Quadrilaterals ⦿ Polygons ⦿ Circle
 Three-dimensional geometric shapes ⦿ Prisms ⦿ Pyramids ⦿ Cylinder ⦿ Cone ⦿ Sphere
 Trigonometry ⦿ Calculating trigonometric functions [1]⦿ Simplifying trigonometric expressions [4]⦿ Solving right triangles
 Vectors ⦿ Adding and subtracting vectors ⦿ Scalar product of vectors ⦿ Vector product of vectors ⦿ Mixed product of vectors
 Analytical Geometry 2D
Thinking Operations
 Binomial theorem
 Combinatorics
 Sets
 Logic
Probability and Statistics
 Conditional Probability