Partial derivative

Derivative of a function with multiple variables

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 partial derivative of a function f ( x , y , …) {\displaystyle f(x,y,\dots)} with respect to the variable x {\displaystyle x} (analogously for any other variable) is variously denoted by It is the rate of change of the function in the x {\displaystyle x} -direction.

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