Examples of using Partial derivative in English and their translations into Thai
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Ecclesiastic
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Ecclesiastic
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Computer
Minus the partial derivative of z.
Partial derivative of x with respect to z.
So that gives us our partial derivatives.
The partial derivative of z with respect to x.
And that is called the partial derivative.
Partial derivative of minus y with respect to z.
We're going to have to do a few partial derivatives.
Partial derivative of 0 with respect to x, 0.
So we just calculated the partial derivative at that point.
So the partial derivative of z with respect to y.
So this term-- let's see, partial derivative of 0.
Plus the partial derivative of x with respect to y.
So this is just the definition of the regular partial derivatives.
Or the partial derivative of the[? vector?] z of minus y.
And now we just plug and chug and figure out the partial derivatives.
Or partial derivative of 0 with respect to x, actually.
Times the magnitude of the partial derivative of r with respect to s.
And we calculated this in the two videos on the partial derivatives.
Minus the partial derivative of y-- of minus y with respect to y.
The magnitude of that crossed with the partial derivative of r with respect to t ds.
And the partial derivative of psi, with respect to y, is equal to N.
Cross out its row and column, the partial derivative of x with respect to 0.
So the partial derivative of z with respect to x is 2x plus y.
Because the derivative of psi, with respect to x, using the partial derivative chain rules, is this.
So the partial derivative of r with respect to s-- so this term right here.
Let me just show you what the derivative-- using what we knew before you even learned anything about the partial derivative chain rule-- what is the derivative of psi with respect to x.
The partial derivative with respect to y said what is the slope in the y direction.
If you have done any partial derivatives, it won't be difficult.
But when we took the partial derivative of this expression, which we could call M with respect to y, it was different than the partial derivative of this expression, which is N in the exact differential equations world.
