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} is variously denoted by
f x ′ {\displaystyle f'_{x}} , f x {\displaystyle f_{x}} , ∂ x f {\displaystyle \partial _{x}f} , D x f {\displaystyle \ D_{x}f} , D 1 f {\displaystyle D_{1}f} , ∂ ∂ x f {\displaystyle {\frac {\partial }{\partial x}}f} , or ∂ f ∂ x referenceEver curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.
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