Differentiating simple fractions

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• February 10th 2013, 10:06 AM
Paze
Differentiating simple fractions
Now we got all these nifty shortcuts to differentiate various things such as $x^n$ but what about $\frac{x}{n}$ or $\frac{n}{x}$? Are there any shortcuts to that or do I have to go through the whole process of differentiating it? Thanks.
• February 10th 2013, 07:00 PM
chiro
Re: Differentiating simple fractions
Hey Paze.

Recall that d/dx(a*x^n) = a*d/dx(x^n) where is a constant (or independent of x) and those are just special cases of this rule.