(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

lim {f(x+h)-f(x)}/h

f(x)=4/x

So far, i have plugged in the function, and got

{4/(x+h)-(4/x)}/h

I have a Ti-89, my brother no longer needed for college, and when i factored this, it gave me -4/x^2. This is also the answer supplied in the back of the book. With that being said, i have the answer for this worksheet, but i really want to know HOW to factor this. I know it is going to be showing up a whole heck of alot, with this being the definition of a derivative using limits, so i want to know how this factors. I have tried a few times, but due to the difficulty of writing math by typing, i will just say that all attempts ended in indeterminant answers, so obviously, something hasn't worked.

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# Homework Help: Derivative by limts

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