TeX Quellcode:

\begin{array}{rcl} f'(x) &=& \dfrac{\left(3x^2+10x\right)\left(x^4-x\right)-\left(\left(x^3+5x^2-32\right)\left(4x^3-1\right)\right)}{\left(x^4-x\right)^2} \\\\&=& \dfrac{3x^6-3x^3+10x^5-10x^2-\left(4x^6-x^3+20x^5-5x^2-128x^3+32\right)}{\left(x^4-x\right)^2}\\\\&=& \dfrac{3x^6-3x^3+10x^5-10x^2-4x^6+x^3-20x^5+5x^2+128x^3-32}{\left(x^4-x\right)^2} \\\\&=& \dfrac{-x^6-10x^5+126x^3-5x^2-32}{\left(x^4-x\right)^2} \end{array}