Use Microsoft Excel to investigate the following function:

f$($x$)=(1/3)$x$3-3$x$2+2$x$-6$

$($Note that this function is slightly different than the one in the previous question$)$

Use the Newton$-$Raphson Method to find the root of the function.$$

The first derivative of the function is f$\text{'}($x$)=$ x$2-6$x$+2.$

Do not incorporate the first order numerical method for computing the derivative that was demonstrated in the second half of the notes for this topic.

Use an initial guess of x$0=+7.$

What is the value of the approximation of the root at the end of the first full iteration $($i$.$e$.$ x$2)?$ If you set up a table like the one in the notes, this would be the value in the far right column of the row corresponding to i $=1$ or the value in the first column of the row labeled i $=2.$

Include at least three digits after the decimal in your answer.