14.1 Partial derivatives of the first order

14.2 Partial derivatives of the second and higher orders

14.3 Small increments and small errors

14.4 Exact differentials

14.5 Partial derivatives of composite functions

14.6 Implicit functions

14.7 Change of independent variable

14.8 Dependent and independent functions

14.9 Taylor's series for functions of several variables

14.10 Stationary values for functions of two variables

14.11 Constrained maxima and minima

14.12 The principle of least squares