- #1
theBTMANIAC
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Homework Statement
I have to differentiate using the long formula [f(x+h)-f(x)] / (h).Homework Equations
f(x) = (1)/(2+x), x=2
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.
Code:
(2+x)-(2+x+h) (1)
___________ x __
(2+x+h)(2+x) (h)
I subtracted common variables from the numerator and got.
Code:
-(h) (1)
________ x ___
[(2+x+h)(2+x)] (h)
Then I got:
-(1)
_______________
(2+x+h)(2+x)
But as I expanded the numerator, I found that I couldn't get rid of the last h. What is the problem?
Thank you.
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