Problem $3$:

Q$1.$ Using a numerical method of your choice to optimize this function:

$f(x)=-1\mathrm{.}5x^6-2x^4+10x.$

Hint: you may use:

Either

a$)$ Newton$-$Raphson's method for optimization, with $x_0=2,$ as an initial guess.

$O{R}_{?}$

b$)$ Golden Search method, with $xl$ and $xu$ of your choice

Q$2$: Is the optimum min or max?