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Exponential Functions

"We often encounter exponential functions in science and mathematics. Exponential functions have a unique set of characteristics and asymptotic behavior that make their graphs recognizable. It is impo ...

Derivatives of Logarithmic Functions

"The derivative of the natural logarithmic function (ln[x]) is simply 1 divided by x. This derivative can be found using both the definition of the derivative and a calculator. Derivatives of logarith ...

Continuous Functions

"In order for a function to have continuity at a certain point, several conditions including (1) the existence of the point in the domain and (2) the existence of a two-sided limit as the point approa ...

Natural Logarithm

"The natural log is the logarithm to the base of the number e and is the inverse function of an exponential function. Natural logarithms are special types of logarithms and are used in solving time an ...

Logarithmic Functions

"In order to solve equations that contain exponentials, we need logarithmic functions. Logarithmic functions are the inverses of exponential functions. The properties of logarithms are used frequently ...

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