Advanced calculus : using differential functions of several variables, volume II / Tunc Geveci.

1. The chain rule for functions of several variables
Implicit differentiation


2. Directional derivatives
The chain rule and the gradient
Functions of three or more variables


3. Understanding local maxima and minima
The definitions and preliminary examples
The second derivative test for local extrema
A plausibility argument for the second derivative test


4. Absolute extrema
Lagrange multipliers
Maximizing output under budgetary constraints


Index.