二阶导数的几何意义

The Geometrical Meaning of Second Derivatives

对一元函数二阶导数的几何意义进行阐释,认为一元函数的二阶导数是描述函数对应曲线的曲率的一个重要指标:二阶导数的绝对值与曲线曲率成正比;在驻点处,二阶导数的绝对值与曲率相等.

Expounding on the geometrical significance of the second derivative of a one variable function, this paper regards the second derivative as an important tool for describing the curvature of the corresponding curve, since the magnitude of the second derivative is proportional to the curvature, and is equal to the eurvat,ore, in particular, at the stationary point.