noun
exact differential
Technical term in mathematics, specifically in multivariable calculus, referring to a differential form that is the total differential of a function.
完全微分方程式を解くには、積分因子を見つける必要がある。
To solve an exact differential equation, you need to find an integrating factor.
偏微分 (partial differential) refers to the derivative with respect to one variable while keeping others constant, whereas 完全微分 (exact differential) represents the total change of a function of multiple variables.
全微分 (total differential) is often used synonymously with 完全微分, but 完全微分 specifically emphasizes the exactness condition in differential equations.
Compound of 完全 (complete, perfect) and 微分 (differential, differentiation). The term is a direct calque from the English mathematical term 'exact differential'.