English Dictionary

difference quotient

名詞

(mathematical analysis) The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve.

日本語の意味

差商（さしょう）：ある関数に対し、2点間の関数値の差をその点間の差で割ることで得られる値。特に、ある点における接線の傾き（微分値）を求める過程で、極限操作の前の近似値として用いられる数学的概念。

To compute the derivative at a point, we examine the difference quotient between two nearby points on the curve.

ある点での導関数を求めるために、曲線上の近い2点の差商を調べます。

意味（1）

(mathematical analysis) The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve.

difference quotients （ plural ）