Newton$-$Raphson

Use the Newton$-$Raphson method to find out when

$f(x)=26$ after $12$ iterations for the function:

$f(x)=4\mathrm{.}0x^3+3\mathrm{.}0x^2+0\mathrm{.}5x$

Use an initial guess of $x_0=0\mathrm{.}3.$

A$.$ Save the answer from each iteration in a vector. You must

use a loop and your single line calculation must be

performed by accessing the proper element in the vector

and assigning the result to the proper element in the same

vector. For example, suppose you call the vector $x.$ Then

the one line in the loop would be $x(?)=x(?)$

You

will need to determine what should replace the question

mark and what should be inserted in the blank.

So$,$ before the first iteration, you would have a vector $x=$