Примери за използване на Third derivative на Английски и техните преводи на Български
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And so what's the third derivative?
The third derivative at x is equal to zero.
Let's just take this term alone and take its third derivative.
And what's the third derivative? f 3 of x.
A third derivative, which might be written as.
Minus 1 times x squared over 2 factorial plus the third derivative at zero.
If the third derivative does not change much, we write.
So I will write that as f to the third derivative at 0 times x to the third. .
Plus the third derivative, plus, what's the third derivative of cosine?
So I'm going to multiply the whole thing times 3 times f, the third derivative, x squared over 2 times 3.
So what is the third derivative of this p that I defined here?
Similarly, the derivative of the second derivative, if it exists, is written andis called the third derivative of.
The third derivative at zero we figured out was zero. Zero who cares what that is.
So then we're going to take the fourth derivative, which is the derivative of the third derivative, so the third derivative was positive sine, so now we're going to be plus cosine.
The third derivative at x is equal to 0 of x to the third over 3 factorial, and we just keep going on.
We could just keep doing this, and actually, we will keep doing this, and you know, just saying, well, the zeroth derivative, or at the value, is the same the first derivative is the same at 0, the second derivative isthe same at 0, we will say the third derivative, the fourth derivative, and we will keep doing that.
So if I have the term and it's f,the third derivative at 0, x to the third over-- and let me just write 6 as 3 times 2 or 2 times 3.
And actually, you will find that in most applications, that's what you end up doing anyway, because most differential equations you encounter in science or with any kind of science, whether it's economics, or physics, or engineering, that they often are unsolveable,because they might have a second or third derivative involved, and they're going to multiply.
Well, the third derivative is going to be, so p prime prime prime of x, we could have also written p3 of x, is equal to the derivative of this.
And so you could imagine, if I want the third derivative to be the same, I could add another term right here, plus,where I know what the value of f of x's third derivative is at 0.
Now the third derivative of the polynomial is equal to the third derivative of the function at the point x is equal to 1, and we haven't even studied third derivatives. .
Times x minus c squared plus, I'm already running out of space, f the third derivative, I think at this point people just write a 3 in parentheses, of the function evaluated at c over 3 factorial times x minus c to the third, and you could just keep adding terms.
There is a third generation derivative as well.
Basically, referring to the breakdown at the beginning of this section, Sermorelin is first generation GHRH derivative andCJC-1295 is third generation GHRH derivative.
But when you actually try to chug through it, you just have to realize, oh. All this is, is saying, we are constructing a polynomial that, at some point c that we have picked, this polynomial's zeroth, first,second, third, fourth, fifth, and so on-th derivative is going to be equal to our function.
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Taylor thought of, was, wow. If this function is infinitely differentiable,meaning that I can take the first, second, third, fourth, you know, all the way to infinity derivative of this function, I could construct a polynomial like this, and i can just keep going by adding more and more terms, so that this polynomial 's, you know, zeroth derivative, which is means the function, the 0, first, second, third, fourth, all of this polynomial 's derivatives are going to be equal to the function.
Such a force is independent of third- or higher-order derivatives of r, so Newton's Second Law forms a set of 3 second-order ordinary differential equations.
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