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 ...