Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Defining the derivative
Replies: 29   Last Post: Aug 29, 2000 11:55 PM

 Messages: [ Previous | Next ]
 Richard J Maher Posts: 80 Registered: 12/6/04
Re: Defining the derivative
Posted: Jun 7, 2000 10:57 AM

Hi Lisa,

I have found using the (f(a+h)-f(a))/h quotient a bit easier
for one main reason: When you want to move from the slope of a
tangent line to the general idea of the derivative of a function,
you can replace the a by an x. If you use the (f(x)-f(a))/(x-a)
quotient, some students find the notational devices that must be
used when the general derivative is defined to be a bit confusing.

Dick Maher

Richard J. Maher
Mathematical and Computer Sciences
Loyola University Chicago
6525 N. Sheridan Rd.
Chicago, Illinois 60626
1-773-508-3565
rjm@math.luc.edu

------------------------------------------------------------

-HOW TO UNSUBSCRIBE

To UNSUBSCRIBE from the calc-reform mailing list,
send mail to:

majordomo@ams.org

with the following in the message body: