Hey guys!

The following question asks me to find y' via the quotient rule.

I know the quotient rule is:

$\displaystyle [f'(x)*g(x) - f(x)*g'(x)]/g(x)^2$

so i got:

$\displaystyle [3x^2+2]*[(4x^2-ln(x)^2] - [x^3-2x]*2[4x^2-ln(x)]$ divided by $\displaystyle [4x^2-ln(x)]^4$

what i don't understand is, in the solution key, they throw $\displaystyle (8x-1/x)$ in there.... where do they get that from?