Partial derivative

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In calculus, an advanced type of math, the partial derivative of a function is the derivative of one named variable, and the unnamed variable of the function is held constant. In other words, the partial derivative takes the derivative of certain indicated variables of a function and doesn't differentiate the other variable(s). The notation

is usually used, although other notations are valid. Usually, although not always, the partial derivative is taken in a multivariable function (a function with three or more variables, which can be independent or dependent).

Examples[change | change source]

If we have a function , then there are several partial derivatives of f(x, y) that are all equally valid. For example,

Or, we can do the following:

Related pages[change | change source]