In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

A representation for the logarithmic derivative $(f'/f)$ of an entire function $f$ of finite order, parametrically in terms of some zeros and critical points of $f ...

The input argument fun refers to an IML module that specifies a function that returns f, a vector of length m for least-squares subroutines or a scalar for other optimization subroutines. The returned ...

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 ...

The skills tested on this examination are a small subset of the skills that you should have learned in Calculus I. Passing this test quickly is very important since if you do not pass this test ...

Inositols are ancient molecules that were probably first made by a common ancestor of Archaea and Eukarya more than 2,000 million years ago. They are used by relatively few Bacteria.The ...