expNx
Expnx is a term used in mathematics and computing with several related meanings tied to exponential functions and the expression e^{n x} or iterated exponentials.
Most common interpretation: expnx(n, x) = e^{n x}; in many contexts, it's written as exp(n x). This form
Another usage: exp_n(x) or exp^n(x) denotes the n-fold iteration of the exponential function, defined by exp_1(x) =
Because of the two meanings, properties differ; the first has derivative with respect to x equal to
Example: expnx(2, 3) equals e^6 ≈ 403.4288. By contrast, a corresponding iterated form like exp_3(1) = e^{e^{e}} yields
See also: exponential function, natural exponential, exp function, iterated exponential.