Examples of using First derivative in English and their translations into Russian
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They are the points such that the first derivative is zero, f'(x)=0.
The first derivative of the velocity, U/ h{\displaystyle U/h}, is constant.
Balance is interpreted as the first derivative or the process rate.
Taking the limit of the difference quotient gives the first derivative.
The balance is interpreted as the first derivative or the speed of the process.
The resulting spline will be continuous and will have continuous first derivative.
They are the points such that the first derivative is zero, f'(x)=0. The theorem applies not just to adjacent critical points;
In the geometry of planar curves, a vertex is a point of where the first derivative of curvature is zero.
The first derivative of function z f(t) from paragraph 2.3 of Annex 6, Appendix 5 above is the angular speed ω in revolutions per second s-1.
Another method for solving minimization problems using only first derivatives is gradient descent.
The difference quotient of the first derivative is a different function from the second-order difference quotient of g, but its limit is also the second derivative. .
Utility is often assumed to be a function of profit orfinal portfolio wealth, with a positive first derivative.
A condition of continuity is imposed on the values of the background under peaks and its first derivative at the fitting in the limits of the intervals see section 5.2.4.
The polynomials are sewed on the limits of the ranges to provide continuity of the curve and its first derivative.
Difference quotients can be used directly to compute not only the first derivative, but higher-order derivatives as well.
For a surface(implicit or parametric), which is differentiable enough,the normal vector depends on the first derivatives.
Catastrophe theory analyzes degenerate critical points of the potential function- points where not just the first derivative, but one or more higher derivatives of the potential function are also zero.
Hermite interpolation however creates continuous derivatives at connecting points through first derivatives.
He worked on the computation of minimum andmaximum values(roughly by equating the first derivative to 0) and gave reasoning and insight to the computation method that was given without explanation by Seki Takakazu about 100 years earlier.
There is no n 1 term, because at the equilibrium point,there is no net force and so the first derivative of the energy is zero.
The latter corresponds to the first derivative of subjectively perceived beauty: the observer continually tries to improve the predictability and compressibility of the observations by discovering regularities such as repetitions and symmetries and fractal self-similarity.
The polynomials are"sewn" together with regard to the weight of each polynomial,ensuring the continuity of the function and its first derivative.
A differentiable function hasan inflection point at(x, f(x)) if and only if its first derivative, f′, has an isolated extremum at x.
The second derivative can be computed directly from the second difference quotient, without ever referencing the first derivative.
The methods used for numeric processing of the OCT images were based on an analysis of histograms and on calculation of the first derivative of the OCT signal over depth.
An algorithm allowing to obtain the iterative procedures with more higher order of the convergence,which include the function values and its first derivative only.
It is shown that, when grinding fruit and vegetable raw material with the blade tool of the proposed configuration, minimal contact forces anda minimum specific energy intensity of the process are achieved since shock loads on the product are eliminated by matching the first derivatives of the blade profile and the profile of theelastic line of the deformed fruits.
As a British colony, the first European buildings were derivative of the European fashions of the time.
Thermodynamic tables are calculated on lines of phase equilibrium of the argon, including pressure, density,heat of vaporization, the first and second derivative of pressure on elasticity lines on temperature.
First let us define the derivative G′ of a graph G it is a synonym for line graph and dual graph.