use Newton's method of optimization to minimize two different functions: f(x) = 10x₁² + 10x₂² and f(x) = 10x₁² + x₂² . For each function, use x₀ = [0.5, 10]^T (T meaning transpose) as the starting point and ||?f(x)|| < 10^-6 as the stopping criterion.

Note: The update law should be ?xi = ??²f(xi)^-1*?f(xi)^T . We call ?²f(xi) the Hessian of the function f at xi. The hessian and formula should be computed by hand first to help implement into MATLAB.