Sec 3.1   Powers and Polynomials

For  and , two functions.

Let  , with a and b constants.

Find

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Some General Rules:

1)

 

2)

 

3)

 

4)   for n a real number

 

 

 

4 examples…

 

 

5th ex) Find the equation of the line that is tangent to the graph     where   

 

 

 

6th ex) On what interval(s) is the graph of the function     both decreasing and concave downward?