Mathematics

Differential calculus

Differentiation
Derivative
Differentiation - First principles
  • Derivatives - Standard - First principle
  • Derivatives - First principles
  • Derivatives - Inverse trigonometric functions - First principles
Differentiation - Rules
  • Derivatives - Properties
  • Differentiation - Product rule
  • Differentiation - Quotient rule
  • Differentiation - Chain rule
Differentiation - Techniques
Differentiation - Techniques - Different functions
  • Differentiation - Inverse trigonometric functions - Examples
  • Differentiation - Inverse trigonometric functions - Substitution
  • Differentiation - Hyperbolic functions
  • Differentiation - Inverse hyperbolic functions
Differentiation - Implicit, parametric function
  • Differentiation - Implicit functions
  • Differentiation - Parametric functions
  • Differentiation - One Function with respect to another
Differentiation - Logarithmic and successive
  • Differentiation - Logarithmic
  • Derivatives - Second order
  • Derivatives - Second order - Examples
  • Derivative - Applications - Leibnitz theorem
Differential equations
Differential equation - Ordinary
Differential equation - Degree, order and solution
  • Differential equation - Order - Definition and examples
  • Differential equation - Degree - Definition and examples
  • Differential equation - Solution - Elementary examples
  • Differential equation - Solution - Terms - Definition
  • Differential equation - Formation
Differential equation - First Order
  • Differential equation - Form - f(x) = dy/dx - Examples
  • Differential equation - Form - Variables separable - Examples
  • Differential equation - Form - Reducible to variables separable
  • Differential equation - Linear - Explanation and examples
  • Differential equation - Homogeneous - Explanation and examples
  • Differential equation - Non homogeneous - Explanation, examples
  • Differential equation - Form - Reducible to linear
  • Differential equation - Applications
  • Differential equation - Applications - Orthogonal trajectory
Differential equation - Second order
  • Differential equation - Form - d²y/dx² = f(x) and d²x/dy² = f(y)
  • Differential equation - Form - d²y/dx² + P dy/dx + Q y = X
Differential equation - First order but not of first degree
  • Differential equation - Solvable for p = dy/dx
  • Differential equation - Solvable for x
  • Differential equation - Solvable for y
  • Differential equation - Clairut's equations
Partial differentiation
Partial derivative
Partial derivatives - Order
  • Partial derivative - First order
  • Three dimensional geometry - Section and mid point formulae
  • Partial Derivative - Second order
Homogeneous Functions
Homogeneous Functions - Euler's theorem
  • Homogeneous Function - Theorems and examples
  • Partial differentiation - Euler's Theorem - Applications