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有一个极值问题,也有关于拉格朗日乘数法的,链式法则也会有的,约束条件下偏导数当然不会漏掉。
Expect one about a min/max problem, something about Lagrange multipliers, something about the chain rule and something about constrained partial derivatives.
我们来用方向导数,来描述一下相同的东西。
Let's say the same thing in terms of directional derivatives.
你可以想象一下对它们继续求偏导数,将会得到很多偏导数,所以我们要,仔细考虑那时的情形。
You can imagine that if you keep taking partials you may end up with more and more, so we will have to figure out carefully what the condition should be.
That is, it's easy to write down straight away that dG with respect to temperature at constant pressure S is minus S.
这就是说,可以很简单的写出dG在,恒定压强下对温度的偏导数,是负。
Normally, I will give you a function and tell you to take any number of derivatives.
通常情况下,我会给你一个函数,然后让你求任意阶的导数
At the best response this is equal to 0.
在最佳对策下导数等于0
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