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Mathematics sophomore elective 2-2
About this topic.

It should be a typical topic.

I want to check that aspect of you.

Relating to derivatives, especially chain derivatives.

That is, find the partial derivative.

Depth and ability of understanding

First of all, I can tell you for sure.

In other words, these two are the same appearance.

The same unknown, and then there is

You have a routine on this topic, regardless of the willy-nilly.

Just ask first, that is, for example, the first one

The derivative of z to x is the derivative of f to X.

Just follow the law of deduction.

First, the first item, then the second item.

Then his first derivative should be equal to

One plus zero plus the derivative of z to x

Ok, so is the second item.

You'll find the equation when you're done.

Both sides have the derivative of z to x.

So at this time, we should take all these derivatives

They all move together.

Same side of the equation, left or right?

Then it seems right. That's what you asked.

Answer. Well, it should be like this.

As for the second one, just divide it by which two derivatives.

Do it. This kind of problem has a routine.