3 Exponential Functions and their applications concepts

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

In these videos, we explain

  • Why such a form (f(x) = bx ,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) = ex ? 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 Continue reading