Every function differs from every other function. Otherwise they would not be different functions!
Chat with our AI personalities
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.
With exponentiation functions, the rate of change of the function is proportional to it present value.A function f(x) = ax is an exponentiation function [a is a constant with respect to x]Two common exponentiation functions are 10x and ex. The number 'e' is a special number, where the rate of change is equal to the value (not just proportional). When the number e is used, then it is called the exponential function.See related links.
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
Basically, a rational expression would include only additions, subtractions, multiplications, divisions, and integer powers, while an irrational expression could, in addition, include several additional functions, such as roots (or equivalently, non-integer powers), exponential functions, logarithms, trigonometric functions, and just about any other function.