where 
denotes the greatest integer function. Write an explicit formula for 
. Where is 
continuous? Where is it differentiable?MORE EXTRA CREDIT PROBLEMS
MATH 160
FALL 1999
11. Consider the function where denotes the greatest integer function. Write an explicit formula for . Where is continuous? Where is it differentiable?
12. Verify the following formula:
You may assume that 
is continuous and the functions 
are differentiable.