Examples of using Second derivative in English and their translations into Vietnamese
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What's the first and second derivatives of e to the x?
This is also non-linear, because I multiplied the function times its second derivative.
So the second derivative of y2 is just e to the x plus 2 times the first derivative is what?
Another example of a non-linear equation is if I wrote y times the second derivative of y with respect to x is equal to sine of x.
I mean you don't have a y squared, or you don't have a dy over dx squared,or you don't have a y times the second derivative of y.
Gives us a final result that the second derivative F double prime is equal to quantity one plus.
A second derivative will tell you whether a function is increasing or decreasing along a certain interval so that you can determine the concavity of a function.
Because I squared, I multiplied the second derivative of y with respect-- I multiplied it times itself.
And the second derivative of y1 is equal to-- we will just take the derivative of this, and that's just equal to plus 9-- minus 3 times minus 3-- e to the minus 3x.
Notice here, I did multiply stuff times the second derivative, but it was the independent variable x that I multiplied.
So the second derivative of y with respect to x, plus 2 times the first derivative of y with respect to x, minus 3 y is equal to 0.
First of all if you're at a maximum ora minimum of the function then the curvature is simply the second derivative absolute value of the second derivative.
And those regions where the second derivative is positive or negative respectively determines the concavity of your function.
If the curve is the graph of a function y= f(x), of differentiability class C2,this means that the second derivative of f vanishes and changes sign at the point.
In calculus terms, acceleration is the second derivative of position with respect to time or, alternately, the first derivative of the velocity with respect to time.
The original Laplacian was developed by the 18th-century scholar Pierre-Simon Laplace to understand planetary motion andis constructed out of the second derivatives of a function.
Now if this equation were-- ifI rewrote it as x squared d, the second derivative of y with respect to x squared, is equal to sine of x, and let's say I were to square this.
A critical layer forms at a height where the wave speed c equals the mean turbulent flow U. As the flow is turbulent,its mean profile is logarithmic, and its second derivative is thus negative.
In 1871 he established Maxwell's thermodynamic relations,which are statements of equality among the second derivatives of the thermodynamic potentials with respect to different thermodynamic variables.
Turning points, stationary points, inflection point and concavity of a cubic polynomial x3- 3x2- 144x+ 432(black line)and its first and second derivatives(red and blue).
In the above expressions for the error, the second derivative of the unknown exact solution y{\displaystyle y} can be replaced by an expression involving the right-hand side of the differential equation.
If we denote by X is a function of T the position, the moving body, then the derivative DXDT is, of course, the velocity,V. If we take the second derivative of X with respect to T we have the derivative of velocity, that is acceleration.
What it means to put it mathematically is that, if you're concerned about a society today, you should be looking not at the value of the mathematical function-- the wealth itself--but you should be looking at the first derivative and the second derivatives of the function.
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. .
And I'm getting this from my college differential equations book.x squared times the second derivative of y with respect to x, plus x times the first derivative of y with respect to x, plus 2y is equal to sine of x.
While the data appear to tell a"glass half full, half empty"story, market sentiment might be helped by the improvement in the indicators' second derivatives-- in other words, the slower pace of deterioration-- and expectations of more policy support.”-- Chang Shu and David Qu, Bloomberg EconomicsFor the full note click here.
Therefore, this compound, also referred to as CJC-1295 without DAC,can be considered a second generation derivative of GHRH.
Mod GRF 1-29 is a modified version of GRF 1-29,and can be considered a second generation derivative of GHRH.
Second generation derivative is a further modification of GRF 1-29 and is called Mod GRF 1-29 or CJC-1295 without DAC.
These names for the first, second and third derivative of position are commonly used in basic kinematics.