Question 1124912
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I fixed your question because what you actually asked was:


"Evaluate *[tex \LARGE g(x\,+\,h)\ -\ \frac{g(x)}{h}]"  Parentheses are extremely important.  So is proofreading your post BEFORE you submit.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ g(x)\ =\ 6\ -\ x^2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{g(x\,+\,h)\ -\ g(x)}{h},\ \ h\ \not=\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{6\,-\,(x\,+\,h)^2\ -\ \(6\ -\ x^2\)}{h}]


Perform the binomial expansion and collect like terms.  Given correct arithmetic, all of the numerator terms should contain one or more factors of *[tex \Large h], so you can eliminate the *[tex \Large h] in the denominator.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
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