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2. Partial Derivatives Multivariable Calculus. 111.2GENERAL FEATURES OF PARTIAL DIFFERENTIAL EQUATIONS A partial differential equation (PDE) is an equation stating a relationship between function of two or more independent variables and the partial derivatives of this function with respect to these independent variables. The dependent variablef is used as a generic, Partial Differentiation & Application the two commodities arecomplementary commodities. Partial Derivatives: Application of First Partial Derivatives.

Applications of partial diп¬Ђerentiation. Partial Differentiation with Respect to One Variable. Let F be a function of several variables, say x, y, and z. In symbols,, Examples of application in economics and business Output (Y) is a function of labour (X1) are the two partial derivative functions. Interpretation.

### Lecture Notes in Mathematics Arkansas Tech University

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Partial derivative - a derivative of a function of two or more variables with respect to one variable, the other(s) being treated as constant. Green's Theorem: Let C be a positively oriented, piecewise smooth, simple, closed curve and let D be the region enclosed by the curve. If P and Q have continuous first order partial derivatives on D then, Lecture Notes in Mathematics ing in applications, in science, in engineering, We start this section by reviewing the concept of partial derivatives and the