Why do we like partial derivatives?
为什么我们偏爱偏微分呢？
We are trying to understand partial derivatives.
我们还要试图理解偏导数。
It has only partial derivatives for each variable.
它只有关于每个变量的偏导数。
Suppose and have continuous partial derivatives on.
设，在上有连续的偏导数。
So, we have to figure out what we mean by partial derivatives again.
因此，我们应该重新理解偏导数的含义。
That means it involves the first partial derivatives of whatever you put into it.
这意味着，不管放什么进去，都会包括一阶偏导。
So, critical points, remember, are the points where all the partial derivatives are zero.
临界点是，偏导数都为零的点。
What we would start doing immediately is taking the partial derivatives. What is f sub x?
我们首先要做的事是,求偏导数，fx是多少？
And we have learned how to package partial derivatives into a vector, the gradient vector.
我们也知道了，如何将各个偏导组合成一个梯度向量。
And a partial differential equation is some relation between its partial derivatives. Let me see.
而一个偏微分方程就是，函数各个偏导之间的联系，看看。
The calculation of the partial derivatives is important in modeling IP and inversion resistivity.
在极化率正演计算和电阻率反演成像中，偏导数矩阵的计算是比较关键的问题。
A partial differential equation is an equation that involves the partial derivatives of a function.
偏微分方程就是，跟函数各个偏导数有关的方程。
You don't need to bring a ruler to estimate partial derivatives the way that this problem asks you to.
你们不需要像这道题一样，用尺子去表示出偏导来。
So, we've learned about differentials and chain rules, which are a way of repackaging these partial derivatives.
我们还学过微分的链式法则，也就是用其他量来代替这些偏导数。
So the unknown is a function, and the equation will relate the partial derivatives of that function to each other.
未知量是一个函数，这个方程，将把函数的偏导数联系起来。
Well, hopefully you kind of vaguely remember that it was about functions of several variables and their partial derivatives.
希望你们大致记得，这是关于多元函数及其偏导的。
This should be particularly bothersome to you because, as you've already experienced in 5.60, There are a lot of partial derivatives.
对你们来说这可能很让人头疼，就像你们在5。60里体验过的那样，这有很多偏微分和变量。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The proposed method avoided the complicated partial derivatives in traditional method, and the computation was effectively reduced.
该算法避免了传统算法中繁琐的偏导数求解，有效降低了计算量。
Expect one about a min/max problem, something about Lagrange multipliers, something about the chain rule and something about constrained partial derivatives.
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。
And, we'll actually learn how to compute their partial derivatives without having to do this because we'll just have the usual methods for computing derivatives.
计算偏导数的办法没这么麻烦，因为我们有常规的方法，因此我们不需要通过定义去求偏导数。
Partial derivatives of eigenvalues and eigen vectors with respect to random variables for structures are deduced by means of the concept of mode truncation.
为求出随机特征对的方差，借助于模态截断概念推出诸特征值与特征向量对随机变量的偏导数。
Now you see how the total differential accounts for, somehow, all the partial derivatives that come as coefficients of the individual variables in these expressions.
现在可以看到，全微分里面的这些偏导数系数，都可以用一个变量表示出来。
But one thing at a time. I wanted to point out to you that very often functions that you see in real life satisfy many nice relations between the partial derivatives.
但是有一件事情，我必须指出来，在现实中，很多函数的偏导数之间，存在着很好的关系。
By theoretical derivation, the partial derivatives of the deviation between the humidity sensing characteristic curve and the fitting line to the self-resistance are obtained.
通过理论推导，获知了湿敏电阻器的感湿特性曲线与拟合直线之间的偏差随其本体电阻的变化关系。
The partial derivatives of the electromagnetic responses with respect to resistivity and dielectric parameter are calculated by using Green function based on reciprocity principle.
模型响应对电阻率及介电常数的偏导数用格林函数和互换原理计算。
So, in general, solving might be difficult, but if it asks you to do it, then it means it shouldn't be too hard. I haven't written the final yet, is constrained partial derivatives.
解起来是有点难，但考起来不会那么难,我还没出期末试卷，是有约束的偏导。
In this paper, the extrapolation formulas of rocket engine performance parameters are established utilizing one isentropic reference line and two partial derivatives for fixed enthalpy.
本文利用一条等熵参考线和两个等焓偏导数建立了火箭发动机性能参数的外推公式。
You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.
可以通过隐函数微分法和乘法法则得到，或者直接,把关于x，y，z的偏微分放进来。
You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.
可以通过隐函数微分法和乘法法则得到，或者直接,把关于x，y，z的偏微分放进来。
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