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 ...

Video 6: The Inverse Function Theorem In the Inverse Function Theorem video we discuss the Inverse Function Theorem which gives a relationship between the derivative of an invertible function and that ...

Stephen R. Wassell, Superexponentiation and Fixed Points of Exponential and Logarithmic Functions, Mathematics Magazine, Vol. 73, No. 2 (Apr., 2000), pp. 111-119 ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

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 ...

A continuation of Math 1200/1225. Covers exponential and logarithmic functions, trigonometric and inverse trigonometric functions, and trigonometric identities. Current ALEKS Math Placement 55 or ...