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Related to Total Differential: Total differential equation
total differential[′tōd·əl ‚dif·ə′ren·chəl]
The total differential of a function of several variables, ƒ(x1, x2,…, xn ), is the function given by the sum of terms (∂ƒ/∂ xi ) dxi as i runs from 1 to n. Also known as 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,…)
tends to zero, so does the difference Δf — df.