Sentence examples for and the derivative of from inspiring English sources

The phrase "and the derivative of" is correct and usable in written English.
It can be used in mathematical contexts when discussing calculus, specifically when referring to the derivative of a function.
Example: "The function f(x) is increasing, and the derivative of f(x) is positive for all x in the interval."
Alternatives: "and the rate of change of" or "and the slope of".

Exact(51)

For example, it is possible to derive a closed expression for the wavenumber dependency with diffusion constants and the derivative of the linear reaction terms.

And the derivative of x is minus y, which means I'm going backwards.

A state feedback control is adopted to compensate the modelling errors and the derivative of desired fin angle.

This follows from the fact that both the groundwater response time and the derivative of the water table ratio share a strong dependence on the square of the distance between perennial streams (L, compare equations (10) and 14)).

A 7 × 7 fuzzy matrix assigns the controller output with respect to the error value and the derivative of the error.

As the mass is variable, and the derivative of the mass is directly considered in the traditional Lagrange equation, the expression of generalized force is complicated.

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Similar(9)

First, take a derivative and take the derivative of the derivative.

So, minus sine theta d theta, and dy, the derivative of sine is cosine.

The explicit form of the drift and diffusion coefficients (3) and the derivatives of the potential functions (B.11) are given.

In general, DON, T2 and the derivatives of ZEN had the lowest LODs, and subsequently LOQ values, in all matrices.

The beneficial effects ascribed to drinking tea are believed to rely on the pharmacological actions of catechins, especially EGCG, and the derivatives of catechin components [ 35].

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