$$
\frac{\left(-\left(1-t\right)^{2}p_{0}.x\left(\left(-4+6t\right)p_{1}.y+\left(2-6t\right)p_{2}.y+\left(2t\right)p_{3}.y\right)+\left(1-t\right)\left(1-3t\right)p_{1}.x\left(\left(2-2t\right)p_{0}.y+\left(2-6t\right)p_{2}.y+\left(2t\right)p_{3}.y\right)+\left(t\left(2-3t\right)\right)p_{2}.x\left(\left(2-2t\right)p_{0}.y+\left(-4+6t\right)p_{1}.y+\left(2t\right)p_{3}.y\right)+t^{2}p_{3}.x\left(\left(2-2t\right)p_{0}.y+\left(-4+6t\right)p_{1}.y+\left(2-6t\right)p_{2}.y\right)\right)-\left(-\left(1-t\right)^{2}p_{0}.y\left(\left(-4+6t\ \right)p_{1}.x+\left(2-6t\right)p_{2}.x+\left(2t\right)p_{3}.x\right)+\left(1-t\right)\left(1-3t\right)p_{1}.y\left(\left(2-2t\right)p_{0}.x+\left(2-6t\right)p_{2}.x+\left(2t\right)p_{3}.x\right)+\left(t\left(2-3t\right)\right)p_{2}.y\left(\left(2-2t\right)p_{0}.x+\left(-4+6t\right)p_{1}.x+\left(2t\right)p_{3}.x\right)+t^{2}p_{3}.y\left(\left(2-2t\right)p_{0}.x+\left(-4+6t\right)p_{1}.x+\left(2-6t\right)p_{2}.x\right)\right)}{\left(-\left(1-t\right)^{2}p_{0}.x+\left(1-t\right)\left(1-3t\right)p_{1}.x+\left(t\left(2-3t\right)\right)p_{2}.x+t^{2}p_{3}.x\right)^{2}}
$$