- TeX source:
- \begin{array}{cclcrcl}\quad\mathbb{D} &=& \mathbb{R}\\\\g(k) &=& \left(\dfrac{11}{6}k^2-k\right)^2\cdot 72 \\&=& 72\left(\dfrac{11}{6}k^2-k\right)\cdot\left(\dfrac{11}{6}k^2-k\right) \\\\\quad u(k) &=& 72\left(\dfrac{11}{6}k^2-k\right) = 132k^2-72k &\Rightarrow & u'(k)&=& 264k-72 \\\quad v(k) &=& \dfrac{11}{6}k^2-k &\Rightarrow &v'(k) &=& \dfrac{11}{3}k-1 \\\\g'(k) &=& \left(264k-72\right)\cdot\left(\dfrac{11}{6}k^2-k\right)+\left(132k^2-72k\right)\cdot\left(\dfrac{11}{3}k-1\right) \\&=&484k^3-264k^2-132k^2+72k+484k^3-132k^2-264k^2+72k \\&=& 968k^3-792k^2+144k\end{array}