first principles

**CenturionMonkey** · February 5th 2008, 05:42 PM

Hey i need help with this question:

Find the derivative of the function $f(x)=1/(x+2)$ by using first principles.

We have to use first principles, please and thanks you.

**Krizalid** · February 5th 2008, 06:37 PM

If the limit exists, then

$f'(x) = \mathop {\lim }\limits_{\Delta x \to 0} \frac{{f\left( {x + \Delta x} \right) - f(x)}}<br /> {{\Delta x}}.$

And $f\left( {x + \Delta x} \right) = \frac{1}<br /> {{\left( {x + \Delta x + 2} \right)}}.$ You may perform from there the calculations.

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