Tangent plane and riormal line of the surface曲面的切平面与法线 Extremum of multivariable functions多元函数的极值 Directional derivative and gradient方向导数与梯度 ..
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本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。
This paper USES the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文给出了利用梯度判定多元函数极值的判别法，并提供了若干范例。
In this paper we give a method of test, which makes use of the gradient, to verify the extreme value of multivariate function, and give some typical examples.
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