the derivative of :
$\displaystyle f(x) = \frac { 6 x^2 + 8 x + 5 } {\sqrt{x} }, $
so far i get this using the quotient rule..but it's wrong:
$\displaystyle (12x+8)(x^(-1/2)) + (-1/(2sqrt(x)))(6x^2+8x+5) $
the derivative of :
$\displaystyle f(x) = \frac { 6 x^2 + 8 x + 5 } {\sqrt{x} }, $
so far i get this using the quotient rule..but it's wrong:
$\displaystyle (12x+8)(x^(-1/2)) + (-1/(2sqrt(x)))(6x^2+8x+5) $
The quotient rule is the hard way and so can lead to mistakes that I'm not even going to bother trying to find.
Break it up as $\displaystyle f(x) = 6 \frac{x^2}{\sqrt{x}} + 8 \frac{x}{\sqrt{x}} + \frac{5}{\sqrt{x}} = 6 x^{3/2} + 8 x^{1/2} + 5 x^{-1/2}$ and differentiate term-by-term.