please use matlab and show all code input and out put.

The next function I'd like to consider is f(x)=x84x+3 over the interval 0 to 3 a. Use the MATLAB golden search algorithm to find the minimum value of the function to a tolerance of 1e4. b. What is the true (analytic) minimum of this function? c. What is the derivative of the function at the x point returned by the MATLAB algorithm? d. How close is the minimum value of the point found by the algorithm to the analytical minimum? Compute this as Et e. Explain in words the quality of your results e.g. how accurate of a solution did you obtain? f. Now try the following: minimize f(x)=0.5x210sin(x) using the MATLAB algorithm. a. First run the algorithm for the intervals [10,10] with tolerance 1e4. What are the resulting x and f(x) values? b. Now run the algorithm for the intervals [10,5] with tolerance 1e4. What are the resulting x and f(x) values in this case? c. Plot the function in MATLAB. How do the results compare? d. How do you account theoretically for the discrepancies? e. Are both solutions found optimal in some sense? Descrive