MathLivePartial derivative
The partial derivative of a multivariable function with respect to one variable is the ordinary derivative taken along that variable while all other variables are held constant. It is defined as the limit of the difference quotient in that single variable.
\frac{\partial f}{\partial x} = \lim_{h \to 0} \frac{f(\dots, x + h, \dots) - f(\dots, x, \dots)}{h}What the symbols mean
| function of several variables | |
| the variable with respect to which the derivative is taken | |
| small increment in x that tends to zero |
About this formula
- FieldMathematics
- TopicMultivariable calculus
- LevelUniversity
- Also calledpartial differentiation, partial derivative definition, derivative with respect to one variable, limit definition of partial derivative, partial derivative limit form, ∂
- SourceWikidata Q186475
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