TeX Quellcode:

\begin{array}{lclcrcl}\quad\mathbb{D} &=& \mathbb{R}^+ \\\\g(x) &=& \sqrt{112x^3+97x}+16 \\&=& \left(112x^3+97x\right)^{\frac{1}{2}}+16 \\\\\quad g(h(x)) &=& (h(x))^{\frac{1}{2}}+16 & \Rightarrow & g'(h(x)) &=& \dfrac{1}{2}(h(x))^{-\frac{1}{2}} \\\quad h(x) &=& 112x^3+97x & \Rightarrow & h'(x) &=& 336x^2+97 \\\\g'(x) &=& \dfrac{1}{2}\left(112x^3+97x\right)^{-\frac{1}{2}}\cdot \left(336x^2+97\right) \\\\&=& \dfrac{1}{2\left(112x^3+97x\right)^{\frac{1}{2}}}\cdot \left(336x^2+97\right) \\\\&=& \dfrac{336x^2+97}{2\sqrt{112x^3+97x}}\end{array}