Examples of using Chain rule in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
This comes from this definition up here, and of course plus c, and the chain rule.
In the chain rule it was f of x is equal to h of g of x.
So you're probably not familiar with taking the chain rule onto partial derivatives, but I will show it to you now, and I will give you a little intuition, although.
I think that's actually an easier way to digest the chain rule than giving you the formal definition first, and then showing you a bunch of examples.
That the chain rule, with respect to one of the variables, but the second variable in the function is also a function of x, the chain rule is this.
I'm just rewriting the chain rule, but I'm writing in an integral form that this is equal to f of g of x.
Which is that term plus the derivative of 1 over Y with respect to X, which is minus 1 over y squared dy dx, from the chain rule, times dx.
If you took the derivative of psi with respect to x, it should be equal to this whole thing, just using the partial derivative chain rule.
But all you have to know is this the reverse of the chain rule to solve some problems.
In the last presentation, I showed you how to essentially reverse the chain rule when you're doing an integral.
And I did it kind of, you know, just telling you that, well, we're just reversing the chain rule.
I will see you in the next presentation and I will show you how to reverse the chain rule.
On the left-hand side, right over here, we get dy/dx is equal to-- now here on the right hand side, we're going to apply the chain rule.
We can use the chain rule-- and once again, we're just working on this right half.
The chain rule said if I took the derivative of f of g of x that this is equal to f prime of g of x times g prime of x.
You could say this is the derivative of a with respect to x or the derivative of y squared with respect to x, and this is just from the chain rule, right?
We took this, what I would say is a very complicated function, and using the chain rule and just the basic rules we had introduced a couple of presentations ago, we were able to find the derivative of it.
And this review of chain rule.
And what was the chain rule?
Let's start with the chain rule.