Last Updated：2025/11/25

Dictionary quizzes to help you remember vocabulary

Dictionary quizzes to help you remember vocabulary

(mathematics) Any of various theorems that saliently concern mean values.

音声機能が動作しない場合はこちらをご確認ください

See correct answer

mean value theorem

Edit Histories（0）

Source Word

mean value theorem

Noun

uncountable

(mathematics) Any of various theorems that saliently concern mean values.

Japanese Meaning

数学における平均値定理。すなわち、ある連続かつ微分可能な関数に対し、閉区間内のある点で関数の瞬間的な変化率（導関数）が、その区間全体の平均変化率と一致することを保証する定理の総称。

What is this buttons?

Google Translation / DeepL Translation

試験の準備をする際、彼女は平均値の定理の証明を見直して、すべての手順を理解していることを確かめた。

Sense（1）

(mathematics) Any of various theorems that saliently concern mean values.

Several mean value theorems in the theory of elasticity have appeared in the recent literature […] .

Google Translation / DeepL Translation

Sense（2）

(calculus, uncountable) The theorem that for any real-valued function that is differentiable on an interval, there is a point in that interval where the derivative of the curve equals the slope of the straight line between the graphed function values at the interval's end points.

f(̃x)=f(̌x)+f'(𝜁)(̃x-̌x)

for some 𝜁 on the line segment between ̃x and ̌x.

Google Translation / DeepL Translation

mean value theorems

（ plural ）

Login / Sign up

　

Download the app!

DiQt

Free

★★★★★★★★★★