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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. The … See more
Like ordinary derivatives, the partial derivative is defined as a limit. Let U be an open subset of and a function. The partial derivative of f at the point with respect to the i-th variable xi is defined as
Even if all partial … See moreAn important example of a function of several variables is the case of a scalar-valued function f(x1, ..., xn) on a domain in Euclidean space (e.g., … See more
Second and higher order partial derivatives are defined analogously to the higher order derivatives of univariate functions. For the … See more
For the following examples, let be a function in and .
First-order partial derivatives:
Second-order … See moreThere is a concept for partial derivatives that is analogous to antiderivatives for regular derivatives. Given a partial derivative, it allows … See more
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How to Take Partial Derivatives - wikiHow Life
Partial derivative - Wikipedia
Partial derivative - Wikipedia
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