Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them.

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 ...

Derivatives: definitions, notation, and rules A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When ...

Rules for Common Derivatives The derivatives for any functions like polynomial, power, exponential, logarithmic and circular functions can be easily found by knowing the derivative for their base ...

Morris Marden, Logarithmic Derivative of an Entire Function, Proceedings of the American Mathematical Society, Vol. 28, No. 2 (May, 1971), pp. 513-518 ...

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 ...

The data analysis unravels oscillations in the logarithmic derivative of the off-state waiting time probability density function and correlations between off-state events.