Total differential
| (Math.) | the differential of a function of two or more variables, when each of the variables receives an increment. The total differential of the function is the sum of all the partial differentials. |
See also: Differential
Total Differential
total differential
[′tōd·əl ‚dif·ə′ren·chəl]Total Differential
The total differential of a function f(x, y, z, …) of several independent variables is
Define the increment of f as
∆ f = f(x +∆ x, y + ∆ y, z + ∆z,…)
- f(x, y, z,…)
then as
tends to zero, so does the difference Δf — df.
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