Showing posts with label derivative of exponential functions. Show all posts
Showing posts with label derivative of exponential functions. Show all posts

Wednesday, June 20, 2012

Learn Exponential functions


Definition of Exponential functions: Exponential functions  are those function in which independent variable appear as an exponent .
exponential functions examples : y = 3x , f(x) = ex , y = 32x+5  are an example of exponential function.
Exponential function
Y = ax, where a is a positive real number and a ?0  is the most popular exponential function . It is an increasing function (as the value of x increasing the value of y increases ) when a>1, It is a decreasing function (as the value of x decreases the value of y decreases ) when a<1.
Derivative of exponential function :
We will use the following property to derivate  exponential function such as
  (ex) = ex