mean value theorem
A fundamental theorem in calculus stating that for a continuous function on a closed interval, there exists a point where the derivative equals the average rate of change.
The mean value theorem is one of the fundamental theorems of calculus.
この問題を解くには平均値の定理を使う必要がある。
To solve this problem, you need to use the mean value theorem.
The intermediate value theorem guarantees a value between two points, while the mean value theorem guarantees a point where the derivative equals the average slope.
A direct translation of the English mathematical term 'mean value theorem', composed of 平均値 (mean value) + の (possessive particle) + 定理 (theorem).