Chapter 8, Problem 26P

Using the simply supported beam from Prob. 8.24, the slope along the beam is given by:

$\begin{array}{l}\frac{d{u}_y}{dx}\left(x\right)=\frac{-10}{3}\left[{\langle x-0\rangle }^3-\ge {\langle x-5\rangle }^3\right]+\frac{15}{2}{\langle x-8\rangle }^2\\ +150{\langle x-7\rangle }^1+\frac{57}{2}{x}^2-238.25\end{array}$

Use a numerical method to find the point(s) where the slope equals zero.