# 3 Exponential Functions and their applications concepts

August 24th, 2012 BY EcoPoint India (0 comments)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