THE POWER RULE
FUNCTION FORMAT: If f (x) = xn , then f '(x) = nxn-1
OPERATOR FORMAT: d

dx
xn = nxn-1

For the table below, fill in the boxes in the right-most two columns. The first 14 rows will be done in class or in an on-line exercise as examples of the power rule. The last 4 rows are left as problems on your take-home test. For several of these problems, rules for exponents will be helpful.

This column is for use
with Section 5.1
FUNCTION
f (x) =
n = f '(x)
  x2    
  x3    
  x10    
  x    
  1    
  1


x
   
  1


x2
   
  1


x10
   
     
     
  1


   
  ()2    
  x    
  x


   
  .    
 



   
     
     

   
This page last
updated 8 January 2012