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Any function of the form f(x) = b^x ,where b > 0 and b ≠0, is an exponential function.

In these videos, we explain

• Why such a form (f(x) = b^x ,where b > 0 and b ≠0) for exponential functions?
• Why we don’t consider negative base in exponential functions?
• How to draw graphs of simple exponential function?
• What are the properties of an exponential function?
• How to draw a graph of f(x) = e^x ? How to derive the value of e = 2.718, using Taylor’s series?
• Lastly, we will be doing an application of an exponential function,  where we derive the formula for continuous interest compounding

What is an exponential function

Drawing the graph of e^x and deriving e=2.718

Continuous interest compunding-application of exponential function