隐微分法:通过把函数每一项分别微分的方法解出隐函数自变量的导数的过程,欲求的导数表达成一个符号,然后再解该符号的结果式.
... Implicit differentiation 隐微分法 Implicit function 隐函数 Improper integral 广义函数(反常函数) ...
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作为引子,你们可能已经知道了,一元微积分里面的一个小把戏,也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
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.
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