Exercise $2-2$

Plot the surface of a function $f(x,y)=2x^2-3x-3y^2+5y,$ when $-2x2$ and $-2y2.$ Use a step size of $0\mathrm{.}1$ for the $x$ and $y$ values. Find the rate of

change of the function in the direction of the $x-$ and $y-$axis at the point $(0\mathrm{.}5,-1\mathrm{.}5)$ by using the central difference method $(h=\sqrt[\phantom{2}]{\text{e}\text{p}\text{s}}).($eps is the unit of precision

that Matlab can go to with floating point numbers e$.$g$.$ a very small number: $2^{-52}.$

Save the rates of changes in the corresponding variables $d_{-}x$ and $d_y$

Useful commands:

meshgrid

surf

Note! It can be very useful to create an anonymous function of the function formula.