Given the following multidimensional function:

$f(x,y)=4x+2y+x^2-2x^4+2xy-3y^2$

use an initial guess of $(x_0,y_0)=(0,0)$ to perform the following:

a$)$ Perform $3$ iterations of steepest ascent method using $h=0\mathrm{.}1$ for each iteration.

Clearly indicate the estimated $(x,y)$ location of the optimum, as well as the $dp$ for each iteration

b$)$ Perform $3$ iterations of optimal steepest ascent method, using $g^{\text{'}}(h^{**})=0$ to

determine the optimal step size $h^{**}$ for each iteration $($you may use Wolfram to help

compute the roots of $\{$:$g^{\text{'}}(h)).$ Indicate the estimated $(x,y)$ location of the optimum,

$h^{**},$ and $dp$ for each iteration.

c$)$ Make a comparison between the fixed step size in a$)$ and the optimal step sizes in b$).$

Please solve the question step by step, and please don't use MATLAB, Pythan or Excel