Skip to content

02-02Notes

A working library of the mathematics behind the analysis.

524 notes in 7 areas, from notation to machine learning. Each takes one formula: what it says, a small worked example, and code that runs. Revised in place. Page 11 of 22.

IndexAll notes

02-02-241Newton-Raphson MethodCalculus and optimisationNumerical stability methods 02-02-242Stable SoftmaxCalculus and optimisationNumerical stability methods 02-02-243AccelerationCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-244Critical PointsCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-245L'Hôpital's RuleCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-246Local MaximumCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-247Local MinimumCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-248Maximum at x₀Calculus and optimisationApplications of the derivative: kinematics and extrema 02-02-249Minimum at x₀Calculus and optimisationApplications of the derivative: kinematics and extrema 02-02-250Points of InflectionCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-251VelocityCalculus and optimisationApplications of the derivative: kinematics and extrema 02-02-252Chain RuleCalculus and optimisationDefinition and properties of the derivative 02-02-253Chain Rule (Leibniz)Calculus and optimisationDefinition and properties of the derivative 02-02-254Constant RuleCalculus and optimisationDefinition and properties of the derivative 02-02-255First Principles DefinitionCalculus and optimisationDefinition and properties of the derivative 02-02-256Logarithmic DifferentiationCalculus and optimisationDefinition and properties of the derivative 02-02-257Product RuleCalculus and optimisationDefinition and properties of the derivative 02-02-258Quotient RuleCalculus and optimisationDefinition and properties of the derivative 02-02-259Scalar MultiplicationCalculus and optimisationDefinition and properties of the derivative 02-02-260Sum RuleCalculus and optimisationDefinition and properties of the derivative 02-02-261Addition/SubtractionCalculus and optimisationLimits of functions 02-02-262DivisionCalculus and optimisationLimits of functions 02-02-263MultiplicationCalculus and optimisationLimits of functions 02-02-264Standard Limit (Euler's Number)Calculus and optimisationLimits of functions