Logarithms and Exponents

Constants Raised to Variables

Meaning, if x and y are variables and a is a constant,
picture 

To find picture:
picture
picture
picture
picture
picture

Thus: picture 

Or more generally:

picture (where u is an unknown function)

For practice, find the derivative of the following:

5.1   If picture
       picture 

5.2   picture 
       picture 

5.3   picture
       picture 

Conversely, picture is the reverse, remember that picture is a constant.
picture 

For example:

5.4   picture 
       picture 

5.5   picture 
       picture