Calculate $F'(0)$, where $$F(x) = \frac{2x^{5}-6x^{6}-7x^{4}+6x}{10x^{9}+x^{7}-6x^{5}+5}.$$ Hint: Do not calculate $F'(x)$. Instead, write $F(x)=f(x)/g(x)$ and express $F'(0)$ directly in terms of $f(0), f'(0), g(0), g'(0)$.

$F'(0) =$