(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known dataI have to differentiate using the long formula [f(x+h)-f(x)] / (h).

2. Relevant equations

f(x) = (1)/(2+x), x=2

3. The attempt at a solution

First I wrote [ (1/2+x+h) - (1/2+x) ] / (h). Then I created a common denominator in the numerator. I then made the bottom denominator a fraction.

I subtracted common variables from the numerator and got.Code (Text):

(2+x)-(2+x+h) (1)

___________ x __

(2+x+h)(2+x) (h)

But as I expanded the numerator, I found that I couldn't get rid of the last h. What is the problem?Code (Text):

-(h) (1)

________ x ___

[(2+x+h)(2+x)] (h)

Then I got:

-(1)

_______________

(2+x+h)(2+x)

Thank you.

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# Homework Help: Differentiate 1 over 2+x

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