TeX Quellcode:
\begin{array}{lclcrcl}\quad\mathbb{D} &=& \mathbb{R} \\\\f(x) &=& e^{\sin\left(-x^2+13\right)} \\\\\quad g(h(k(x))) &=& e^{h(k(x))} & \Rightarrow & g'(h(k(x))) &=& e^{h(k(x))} \\\quad h(k(x)) &=& \sin(k(x)) & \Rightarrow & h'(k(x)) &=& \cos(k(x)) \\\quad k(x) &=& -x^2+13 & \Rightarrow & k'(x) &=& -2x \\\\f'(x) &=& e^{\sin\left(-x^2+13\right)}\cdot \cos\left(-x^2+13\right) \cdot (-2x) \\&=& -2x\cos\left(-x^2+13\right)\cdot e^{\sin\left(-x^2+13\right)}\end{array}