Formulario de Cálculo

Collection of mathematical formulas differential and integral and multivariable calculus

The Calculation Form application provides a wide collection of mathematical formulas for differential and integral calculus and calculation in several variables of the different topics that will be of great help and serve as a quick reference. Perfect app for college students. Download exercises solved in PDF of these topics at www.CalculoDesdeCero.com

LIMITS AND CONTINUITY FORM

- Limits: Definitions

- Lateral Limits

- Indeterminate Forms

- Sandwich or Sandwich Theorem

- Boundary Properties

- Limits to Infinity

- Notable Limits

- L'Hospital Rule

- Continuous Functions

- Intermediate Value Theorem

DERIVATIVE FORM

- Basic Derivatives

- Derivatives of Trigonometric Functions

- Derivatives of Inverse Trigonometric Functions

- Derivatives of Hyperbolic Trigonometric Functions

- Derivatives of Exponential and Logarithmic Functions

- Derivatives: Definition and Notations

- Geometric interpretation of the derivative

- Basic Properties

- Chain rule

- Derivatives of Higher Order

- Implicit Differentiation

- Monotony and Concavity

- Absolute and Relative Extremes

- Mean Value Theorem

INTEGRAL FORM

- Basic Formulas

- Trigonometric formulas

- Hyperbolic Trigonometric Formulas

- Formulas with au + b

- Formulas with √ (au + b)

- Formulas with u² + a²

- Formulas with u²-a²

- Formulas with a²-u²

- Formulas with √ (u² + a²)

- Formulas with √ (u²-a²)

- Formulas with √ (a²-u²)

- Formulas with au² + bu + c

- Formulas with u³ + a³

- Formulas with u⁴ ± a⁴

- Formulas with sin (au)

- Formulas with cos (au)

- Formulas with cos (au) and sin (au)

- Formulas with tan (au)

- Formulas with cot (au)

- Formulas with sec (au)

- Formulas with csc (au)

- Formulas with Inverse Trigonometric Functions

- Formulas with exp (au)

- Formulas with ln (u)

- Formulas with senh (u)

- Formulas with cosh (u)

- Definite Integral, Antiderivative and Indefinite Integral

- Fundamental Theorem of Calculus

- Properties of Integrals

- Substitution Rule

- Integrals of Symmetric Functions

- Theorem of the Average Value of a Function

- Improper Integrals

- Areas in Cartesian and Polar Coordinates

- Volume of Solids of Revolution

- Revolution Surfaces Area

- Arc length

- Pappus' theorem and Center of Gravity

MULTIVARIABLE CALCULATION FORM

- Vectors

- Lines and Planes

- Conversion of Coordinate Systems

- Surfaces

- Vector Functions

- Limits and Continuity

- Partial Derivatives

- Gradients and Directional Derivatives

- Tangent Plane and Linear Approach

- Maximus and minimous

- Multiple Integrals

- Vector Calculation

GENERAL FORM

- Properties of Exponents

- Properties of Logarithms

- Trigonometric functions

- Identities of Trigonometric Functions

- Hyperbolic Trigonometric Functions

- Identities of Hyperbolic Trigonometric Functions

Download exercises solved in PDF of these topics at www.CalculoDesdeCero.com

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