Web Reference: Learn how to find partial derivatives of functions of two or more variables by holding some variables constant. See examples, explanations, notation and tips with diagrams and formulas. In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. Neither one of these derivatives tells the full story of how our function f (x, y) changes when its input changes slightly, so we call them partial derivatives.
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