For the function f$($x$)=$ x$3-3$ x $+1$

$1.$ Calculate an expression for the derivative, f$\text{'}($x$).$

$2.$ Share a single plot of f$($x$)$ and your expression for f$\text{'}($x$)$ together over the interval $-2<$ x $<2.$ Set the vertical limits on your plot so that the shapes of both graphs are shown clearly.

$3.$ Describe briefly a feature of the two graphs that leads you to believe your expression for f$\text{'}($x$)$ is correct. $($For example, what is the apparent behavior of f$\text{'}($c$),$ where x$=$c is a peak or valley of the graph of f$($x$)$ according to your plot?$)$