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 di²erentiable, it has two Frstorder partials ∂f ∂x , ∂f ∂y...
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 Fall '08
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 Calculus, Critical Point, Derivative, Limits, Mathematical analysis

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