
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))/(xa) 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 17735083565 rjm@math.luc.edu

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