Taylor, Angus E. University of California, Berkeley, California.
Last reviewed:August 2019
- Chain rule
- Taylor developments
- Implicit functions
- Functional dependence
- Homogeneous functions
- Lagrange's method in extremal problems
- Related Primary Literature
- Additional Reading
A mathematical operation performed on functions of more than one variable. In this article only two or three variables are considered; however, the principles apply to functions of n variables, for any positive integer n > 1. If z = f(x,y), the partial derivative ∂z/∂x is defined as the derivative of f(x,y) with respect to x, with y being regarded as fixed; that is,
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