Category:Definitions/Elementary Functions

This category contains definitions related to Elementary Functions.
Related results can be found in Category:Elementary Functions.

An elementary function is one of the following:

• The constant function: $\map {f_c} x = c$ where $c \in \R$

• Powers of $x$: $\map f x = x^y$, where $y \in \R$

• Exponentials: $\map f x = e^x$

• Natural logarithms: $\map f x = \ln x$

• Trigonometric functions: $\map f x = \sin x$, $\map f x = \cos x$

• Inverse trigonometric functions: $\map f x = \arcsin x$, $\map f x = \arccos x$

• All functions that are compositions of the above, for example $\map f x = \ln \sin x$, $\map f x = e^{\cos x}$

• All functions obtained by adding, subtracting, multiplying and dividing any of the above types any finite number of times.