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Definition of Partial derivative
1. 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.
Generic synonyms: Derivative, Derived Function, Differential, Differential Coefficient, First Derivative
Definition of Partial derivative
1. Noun. (mathematics) a derivative with respect to one variable of a function of several variables ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Partial Derivative
Literary usage of Partial derivative
Below you will find example usage of this term as found in modern and/or classical literature:
1. Elements of the Integral Calculus: With a Key to the Solution of by William Elwood Byerly, Benjamin Osgood Peirce (1895)
"The derivative of a function of several variables obtained on the hypothesis that
only one of them changes, is called a, partial derivative; and, ..."
2. Elements of the Differential Calculus: With Examples and Applications : a by William Elwood Byerly (1901)
"2xy is the partial derivative of x2y with respect to x, and a? is the partial
derivative of a?y with respect to y. We shall represent partial derivatives by ..."
3. Advanced Calculus: A Text Upon Select Parts of Differential Calculus by Edwin Bidwell Wilson (1912)
"Similarly, if x is held fast and equal to a and if f(a, y) has a derivative when
у = li, that derivative is called the partial derivative of к with respect ..."
4. Elements of the Differential and Integral Calculus by James Morford Taylor (1894)
"A partial derivative of a function of two or more variables is the ratio of the
partial differential of the function to the differential of the variable ..."
5. Electrical Engineering: First Course by Ernst Julius Berg, Walter Lyman Upson (1916)
"... for instance x, y, z, then the partial derivative of F with respect to x is
obtained in a similar way by dividing the equation by dx, remembering, ..."
6. A Course in Mathematics: For Students of Engineering and Applied Science by Frederick Shenstone Woods, Frederick Harold Bailey (1909)
"This derivative is called the partial derivative of f(x, y) with respect to x,
and is denoted by the symbol v • Thus, by definition, 3f(xy) ex , = Lim ,— ..."