Let \(f\) be a function such that
\[ f(0) = -1,\quad f(4) = 3,\quad f'(0) = 5,\quad and\quad f'(4) = -6. \]
Find the following values or input CBD if the value cannot be determined.
\begin{align*} \eval {\ddx \left (5f(x)\right )}_{x=4} &= \answer {-30}\\ \eval {\ddx \left (f(x) - e^x + \sin 4\right )}_{x=0} &= \answer {4}\\ \eval {\ddx \left (2f(x) + e + \sin x\right )}_{x=0} &= \answer {11}\\ \eval {\ddx \left (\pi f(x) + \sqrt {7}\sqrt {x}\right )}_{x=4} &= \answer {-6\pi + \frac {\sqrt {7}}{4}} \end{align*}