Consider the function f$($x$,$ y$)=10$x

$420$x

$2$y $+$ x

$2+10$y

$22$x $+1.$ Write

a Python code in your chosen programming language to find a stationary point of

this function using gradient descent where the step size alpha is chosen using

Armijos

Deliverables: The handwritten code used to find the minimum by Armijo$$s

Rule enabled gradient descent. The first $10$ iterates of the gradient descent algorithm where the individual iterates of x$,$ y$,\backslash$alpha $,$ f$($x$,$ y$)$ should be

d$=$written $($the output of the code$)$ separately to show the progress of gradient descent scheme. Also mention the optimal points x

$$

$,$ y$$ and f$($x

$$

$,$ y$$

$)$

obtained by the converged algorithm and all the parameters chosen in the

Armijo$$s Rule.