Limits and Continuity

Continuity, A polynomial function of two variable, Functions of Three or More Variables, continuous, Examples, Solutions

Partial Derivatives

Partial Derivatives, Interpretations of Partial Derivatives, Examples, Solutions, Functions of More Than Two Variables, Higher Derivatives, Partial Differential Equations, The Cobb-Douglas Production Function, marginal productivity of capital

Directional Derivatives and the Gradient Vector

Directional Derivatives and the Gradient Vector, Directional Derivatives, partial derivatives, Examples, Solutions, The Gradient Vectors, Theorems, Functions of Three Variables, Maximizing the Directional Derivatives, Tangent Planes to Level Surfaces, Si

Maximum and Minimum Values

Maximum and Minimum Values, absolute minimum, absolute maximum, critical point, Examples, A bounded set, Extreme Value Theorem

Lagrange Multipliers

Lagrange Multipliers, Examples, Solutions, Two Constraints