 partial derivative

Math.the derivative of a function with respect to one of its variables with all other variables held constant.[197075]
* * *
In differential calculus, the derivative of a function of several variables with respect to change in just one of its variables.Partial derivatives are useful in analyzing surfaces for maximum and minimum points and give rise to partial differential equations. As with ordinary derivatives, a first partial derivative represents a rate of change or a slope of a tangent line. For a threedimensional surface, two first partial derivatives represent the slope in each of two perpendicular directions. Second, third, and higher partial derivatives give more information about how the function changes at any point.* * *
Universalium. 2010.
Look at other dictionaries:
partial derivative — n. Math. the result of differentiating a function of more than one variable with respect to a particular variable, with the other variables kept constant: the notation ∂f/∂x means the partial derivative of the function f with respect to x … English World dictionary
Partial derivative — 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).… … Wikipedia
partial derivative — noun the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant • Syn: ↑partial • Hypernyms: ↑derived function, ↑derivative, ↑differential coefficient,… … Useful english dictionary
partial derivative — noun a derivative with respect to one variable of a function of several variables See Also: partial differential equation … Wiktionary
partial derivative — noun Date: 1889 the derivative of a function of several variables with respect to one of them and with the remaining variables treated as constants … New Collegiate Dictionary
partial derivative — noun Mathematics a derivative of a function of two or more variables with respect to one variable, the other(s) being treated as constant … English new terms dictionary
partial derivative — par′tial deriv′ative n. Math. math. the derivative of a function with respect to one of its variables with all other variables held constant … From formal English to slang
partial derivative — /paʃəl dəˈrɪvətɪv/ (say pahshuhl duh rivuhtiv) noun Mathematics a derivative of a function of several variables with respect to one of the variables, the other variables being regarded as constant … Australian English dictionary
Second partial derivative test — In mathematics, the second partial derivatives test is a method in multivariable calculus used to determine if a critical point ( x , y ) is a minimum, maximum or saddle point.Suppose that :M = f {xx}(a,b)f {yy}(a,b) left( f {xy}(a,b) ight)^2 or… … Wikipedia
Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… … Wikipedia