3.4 Schnittwinkel

zwei Graphen, welche sich schneiden

\begin{aligned} f (x) = x^{2} \\ g (x) = 2 - x \end{aligned}

\begin{aligned} x_{s 1} = 1 \\ x_{s 2} = - 2 \end{aligned}

\begin{aligned} f^{'} (x) & = 2 x & g^{'} (x) & = - 1 \\ f^{'} (1) & = 2 & \tan β & = - 1 \\ \tan α & = 2 \\ α & = 63, 43^{\circ} & β & = - 45^{\circ} \end{aligned}

\begin{aligned} y_{1} = 63, 43^{\circ} - (- 45^{\circ}) \\ y_{1} = 108, 43^{\circ} \\ y_{2} = 180^{\circ} - 108, 43^{\circ} \\ y_{2} = 71, 57^{\circ} \begin{matrix} Klinerer Wintel \\ Schnittwinkel \end{matrix} \end{aligned}