Given that

\(\displaystyle y=\frac{(5x+2)^{\frac13}}{(x-1)^2},\)

show that \(\frac{\mathrm dy}{\mathrm dx}\) can be written in the form

\(\displaystyle -\frac{Ax+B}{3(5x+2)^{\frac23}(x-1)^3},\)

where \(A\) and \(B\) are integers.