DERIVATIVES USING THE LIMIT DEFINITION


The following problems require the use of the limit definition of a derivative, which is given by

tex2html_wrap_inline338 .

They range in difficulty from easy to somewhat challenging. If you are going to try these problems before looking at the solutions, you can avoid common mistakes by making proper use of functional notation and careful use of basic algebra. Keep in mind that the goal (in most cases) of these types of problems is to be able to divide out the tex2html_wrap_inline29 term so that the indeterminant form tex2html_wrap_inline31 of the expression can be circumvented and the limit can be calculated.




Click HERE to return to the original list of various types of calculus problems.


Your comments and suggestions are welcome. Please e-mail any correspondence to Duane Kouba by clicking on the following address :

kouba@math.ucdavis.edu



Duane Kouba
Thu Aug 29 15:10:27 PDT 1996