Properties of Exponential Curves

An exponential curve can be defined as the exponential function's graph:
y=e^x
where,
y=exponential function
x=exponent
e=Euler number
  1. E's Derivation

    • The Euler number, e or E, can be derived as compound interest, a series and Euler's formula.

    Log Relation

    • Log is the inverse of the exponential function. "Log" stands for logarithmic function.

    Insight

    • The derivative of the exponential curve's function is itself.

    Use

    • The exponential curve can be used to model the exponential growth in real-world applications, such as to create a model of a company's revenue growth rate.

    Tip

    • The Euler number has the value of 2.71828.

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