Примери за използване на Second derivative на Английски и техните преводи на Български
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Show second derivative.
So let's figure out the second derivative.
The second derivative at 0 is 1.
So that's the second derivative.
The second derivative was positive.
So we first have the second derivative of y.
The second derivative at zero is minus 1.
And then, plus the second derivative of x.
The second derivative is going to be square root of 3/18 plus 1/8.
And then I took the second derivative of it.
This is also non-linear,because I multiplied the function times its second derivative.
And then I substituted the second derivative here, and I substituted the function here.
Well, the highest derivative here is the second derivative.
Plus f prime prime, the second derivative of the function at 0, times x squared over 2.
This is the first derivative, this is the second derivative.
So the second derivative is 0 there, and we already knew that, because we tested that number out.
The reason why is it might be, is because the second derivative is definitely 0 here.
So the second derivative of y2 is just e to the x plus 2 times the first derivative is what?
So at x is greater than 0, you will have your second derivative is going to be less than 0.
Which is essentially a differential equation,I just rewrote acceleration as the second derivative.
Then the second derivative test provides a sufficient condition for the point to be a local maximum or local minimum.
So that means that when xis greater than 2/3, that tells us that the second derivative is positive.
Acceleration is the second derivative of position with respect to time or, alternately, the first derivative of the velocity with respect to time.
And you will see, and maybe you will even realize it,when you take a second derivative, what happens.
And so our current p of x has the same value when x is equal to 0 as f of x, it has the samefirst derivative at xis equal to zero as f of x, it has the same second derivative.
Now the fact that we have this transition, from when we're less than 2/3,we have a negative second derivative, and when we're greater than 2/3, we have a positive second derivative, that tells us that this, indeed.
The derivative of f′(x)(if it has one) is written f′′(x) andis called the second derivative of f.
Moreover, the acceleration analogy works in this context as acceleration is the second derivative of distance with respect to time or the first derivative of velocity with respect to time.
And acceleration is the derivative of velocity, or the second derivative of position.
So this example I just wrote here, this is a second order linear equation,because you have the second derivative, the first derivative, and y, but they're not multiplied by the function or the derivatives. .