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lolgarithms
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A way to organize functions by their "speed of growth"?
How does one say formally in math that a certain function grows "faster" than another?
Doens't really work for trig functions, i know.
you knotice that the exponential function is the function dividing d/dx slower than itself and d/dx faster than itself functions
In order from slower to faster:
Derivative is slower than itself:
Constants
rational function in which quotient is non-constant
Logarithms
Roots
Non-constant polynomials:
b^x, b>1: derivative is proportional to itself
Derivative is faster than itself:
Self-power:x^x
Gamma(x)
Tetrational function [tex]{}^xb=b[4]x[/tex]; b[4]1=b, b[4]2=b^b, b[4]3=b^(b^b), etc. (note the grouping)
How does one say formally in math that a certain function grows "faster" than another?
Doens't really work for trig functions, i know.
you knotice that the exponential function is the function dividing d/dx slower than itself and d/dx faster than itself functions
In order from slower to faster:
Derivative is slower than itself:
Constants
rational function in which quotient is non-constant
Logarithms
Roots
Non-constant polynomials:
b^x, b>1: derivative is proportional to itself
Derivative is faster than itself:
Self-power:x^x
Gamma(x)
Tetrational function [tex]{}^xb=b[4]x[/tex]; b[4]1=b, b[4]2=b^b, b[4]3=b^(b^b), etc. (note the grouping)
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