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Tag: Derivative Examples

equation of a tangent line and equation of a normal line to a curve

Equation of a Tangent Line and Equation of a Normal Line to a Curve: Formulas and Examples

07/07/2026 Rostyslav Vereshchak Derivative and Differential

The equation of a tangent line and the equation of a normal line to a curve help us understand how

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derivatives of parametric equations

Derivatives of Parametric Equations: Formula, Proof, Examples

30/06/2026 Rostyslav Vereshchak Derivative and Differential

Derivatives of parametric equations are needed when the relationship between two variables is not given directly, but in terms of

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derivative using logarithmic differentiation

Logarithmic Differentiation: Formula and Examples

23/06/2026 Rostyslav Vereshchak Derivative and Differential

Logarithmic differentiation is a method for finding a derivative in which we first take the logarithm of both sides of

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implicit differentiation

Implicit Differentiation: How the Derivative of an Implicitly Defined Function Works

17/06/2026 Rostyslav Vereshchak Derivative and Differential

Implicit differentiation is needed when the relationship between the variables \( x \) and \( y \) is not given

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differentiation rules and table of derivatives

Differentiation Rules and Table of Derivatives: A Convenient Approach to Finding Derivatives

09/06/2026 Rostyslav Vereshchak Derivative and Differential

The derivative is one of the key concepts in calculus. However, finding it by using the definition every time is

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mechanical and geometric interpretation of the derivative

Mechanical and Geometric Interpretation of the Derivative: Tangent and Speed

02/06/2026 Rostyslav Vereshchak Derivative and Differential

The mechanical and geometric interpretation of the derivative shows that the derivative is not just a rule for calculations. It

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derivative of a function

Derivative of a Function: Step-by-Step Explanation Using the Limit

26/05/2026 Rostyslav Vereshchak Derivative and Differential

The derivative of a function is one of the basic concepts of calculus. This idea is where a deeper understanding

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power rule derivative

Power Rule: The Basic Formula for Differentiation

18/05/2026 Rostyslav Vereshchak Derivative and Differential

The power rule is one of the main rules of differential calculus. It is used when we need to find

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quotient rule derivative

Quotient Rule: Derivative of a Fractional Function Step by Step

12/05/2026 Rostyslav Vereshchak Derivative and Differential

The quotient rule is one of the basic rules of differential calculus. It is used when a function is written

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product rule derivative

Product Rule: Formula, Proof, and Examples

05/05/2026 Rostyslav Vereshchak Derivative and Differential

The product rule is one of the basic rules of differential calculus. It is used when a function is given

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Fundamentals of Matrix Algebra
  • Numerical Integration and Differentiation
  • Numerical Methods for Solving Single-Variable Equations
  • Solving Ordinary Differential Equations
  • Solving Systems of Linear Equations

Geometry

  • Area and Perimeter
  • Circle
  • Polygons
  • Solid Geometric Shapes
  • Surface Area and Volume of Geometric Shapes
  • Triangles

Mathematics

  • Derivative and Differential
  • Fractions
  • Function Research
  • Integral Calculus
  • Logarithmic equations
  • Quadratic equations

Python Programming Language

  • Basic Syntax
  • Conditional Statements
  • Introduction to Python
  • Loops

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