Chapter 7 Section 3

 

Definition of inverse function:


 

Inverse of lnx:

*

 

Cancellation Equations:                         Example:

                                              

 

                         Example:

                       

 

Properties of a Natural Exponential Function:

Exponential function=for all x

                               

 

 

x-axis is a horizontal asymptote of  

 

 

 

 

 

 

Laws of Exponents:

If x and y are real numbers and r is rational then:

 

Natural Exponent Function is its own derivative!                 



 

 

Example:

 




Some helpful links:

www.math.com/tables/derivatives/more/ln.htm
math.usask.ca/maclean/101/ Logs/Presentations/PresentInverses.pdf
www.splendoraisd.org/curriculum/Curr/Pre-Calculus.pdf