Pages similar to: Two variable local extrema examples

Introduction to local extrema of functions of two variables
Introduction to the idea of critical points and local extrema of two variable functions.
Minimization and maximization refresher
How to calculate the maxima and minima of a differentiable function.
Local minima and maxima (First Derivative Test)
How to calculate the local maxima and minima of a differentiable function.
Minimization and maximization problems
Sample problems illustrating minimization and maximization.
Solutions to minimization and maximization problems
Solutions to sample problems illustrating minimization and maximization.
Introduction to Taylor's theorem for multivariable functions
Development of Taylor's polynomial for functions of many variables.
Multivariable Taylor polynomial example
Example of a calculating a second-degree multivariable Taylor polynomial.
Critical points, monotone increase and decrease
How to compute the intervals along which a function is increasing or decreasing.
An algebra trick for finding critical points
An old algebraic trick that can make finding critical points much easier.
Taylor polynomials: formulas
Different ways of writing Taylor's formula with remainder term.
Maximization and minimization
How to calculate the maxima and minima of a differentiable function.