This preview shows page 1. Sign up to view the full content.
Unformatted text preview: about the way the graph curves, and so on. SpeciFcally, the second derivative can help us decide whether a given critical point is a local maximum, local minimum, or neither. In this section we develop the basic theory of higherorder derivatives for functions of several variables, which can be a bit more complicated than the singlevariable version. Most of our energy will be devoted to secondorder derivatives. Higherorder Partial Derivatives The partial derivatives of a function of several variables are themselves functions of several variables, and we can try to Fnd their partial derivatives. Thus, if f ( x,y ) is dierentiable, it has two Frstorder partials f x , f y...
View
Full
Document
 Fall '08
 ALL
 Calculus, Derivative, Limits

Click to edit the document details