Use the quotient rule to differentiate. I want to know if I'm doing this correctly:
$$ f(x)=\frac {2x}{x^4+6} $$
First, I find $f$ prime of $x$ and $g$ prime of $x$:
$$ f'(x) = 2 $$$$ g'(x) = 4x^3 $$
After using the rule, I end up with:
$$ \frac {2x^4+12-8x^4}{(x^4+6)^2} = \frac {-6x^4+12}{(x^4+6)^2} $$
Would this be the final answer if I'm correct? Or do I need to expand the denominator?