Use the parabolic interpolation to find the local maximum $($left of the y$-$axis$)$ and local minimum $($right of

the y$-$axis$)$ of the following function:

f$($x$)=$ x$3+4$x$29$x $+5$

Use a stopping criterion $$a $=0\mathrm{.}0001\%.$ For each local optimum, use the $$print$$ function to list in the

console the x$-$location, function value, and number of iterations required to find the optimum. Turn in a

pdf of your code and a printout of the console displaying the results.