Find the difference quotient for the given function.

y = x + (1/x)

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- Dec 23rd 2008, 11:08 AMmagentaritaMore Difference Quotient
Find the difference quotient for the given function.

y = x + (1/x) - Dec 23rd 2008, 12:10 PMPn0yS0ld13r
- Dec 23rd 2008, 08:57 PMmagentaritano........
- Dec 23rd 2008, 09:23 PMChris L T521
Using the definition of the difference quotient, we have

The goal here is to get the h term in the denominator to disappear.

First, we need to combine the terms in the numerator.

The common denominator is

Thus, the difference quotient becomes

Does this make sense?

By the way, to add on to what I told you in the other thread, when simplifying the difference quotient, the objective is to get the h term in the denominator to disappear (i.e. cancel out with something in the numerator of the difference quotient). - Dec 28th 2008, 07:14 AMmagentaritaa lot...