Derivatives of functions are computed using differential calculus. A derivative in calculus is defined as “the rate of change of quantity y with respect to quantity x”. This sounds very similar to the ...

In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

This note is concerned with a class of differential inequalities in the literature that involve higher order derivatives of Lyapunov functions and have been proposed to infer asymptotic stability of a ...

Terry G. Meyer, Bounds for Estimation of Density Functions and Their Derivatives, The Annals of Statistics, Vol. 5, No. 1 (Jan., 1977), pp. 136-142 ...

We derive sufficient conditions for sampling with derivatives in shift-invariant spaces generated by an exponential B-spline. The sufficient conditions are expressed by a new notion of measuring the ...