Difference between revisions of "Exponential function"

(exponential functions)
Line 1: Line 1:
 
The '''exponential function''' is the [[function]] <math>f(x) = e^x</math>, [[exponentiation]] by ''[[e]]''.  It is a very important function in [[analysis]], both [[real]] and [[complex]].
 
The '''exponential function''' is the [[function]] <math>f(x) = e^x</math>, [[exponentiation]] by ''[[e]]''.  It is a very important function in [[analysis]], both [[real]] and [[complex]].
  
{{stub}}
+
----
 +
 
 +
Exponential equations are in one of three forms. <math><math>f\left( x \right) = ab^x </math></math>, <math><math>f\left( x \right) = ae^k </math></math>, where ''e'' is the irrational constant ''2.71828182846....'', or
 +
<math><math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}
 +
</math></math> <math><math>f\left( x \right) = a\left( 2 \right)^{{x \over d}}
 +
</math></math>, where ''h'' is the half-life (for decay), or ''d'' is the doubling time (for growth).
 +
 
 +
''this page is still under construction...more to come very soon''

Revision as of 06:35, 10 November 2006

The exponential function is the function $f(x) = e^x$, exponentiation by e. It is a very important function in analysis, both real and complex.


Exponential equations are in one of three forms. $<math>f\left( x \right) = ab^x$</math>, $<math>f\left( x \right) = ae^k$</math>, where e is the irrational constant 2.71828182846...., or $<math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}$</math> $<math>f\left( x \right) = a\left( 2 \right)^{{x \over d}}$</math>, where h is the half-life (for decay), or d is the doubling time (for growth).

this page is still under construction...more to come very soon