Exercise $7.$ Write a MATLAB$/$Python$/$Julia program to find the minimizer of Rosen$-$

brock's function via Newton's method.

$f(x_1,x_2)=(1-x_1{)}^2+100(x_2-x_1^2{)}^2$

Use an initial point $x^0=[-1,-1{]}^{TT}$

Note: For exercises $6$ and $7,$ plot $f(x)$ as a function of iteration number.