Here are some:
* They tend to grow (or decrease) very fast* The derivative of the basic exponential function is equal to the function value itself
* They are used to describe many common situations, such as the growth of a population under certain conditions, radioactive decay, etc.
* An exponential function with a positive exponent will eventually grow faster than any polynomial function
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The gradient at any point is directly proportional to the value of the function at that point.
Do you mean "equations involving exponential functions"? Yes,
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Trigonometric functions, exponential functions are two common examples.
The exponential function, logarithms or trigonometric functions are functions whereas a complex variable is an element of the complex field. Each one of the functions can be defined for a complex variable.
There are several laws of exponential functions, not just one. Here is just one of them:The derivative of THE exponential function (base e) is the same as the function itself.