Consider the following function:

$f(x)=-x^4-2x^3-8x^2-5x$

a$)$ Employ $4$ iterations of Golden section search method to determine the maximum

of $f(x).$ Use an initial starting range of $x_l=-2,x_u=1.$ For each iteration, compute

$x_{\text{o}\text{p}\text{t}}$ and ${}_a.$

b$)$ Examine the ${}_a$ decay. Comment on whether the error decay agrees with

expectation.

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