Please provide code.

(20 pts. ) Let f(x)=sin(x)cos(x) (a) Construct MATLAB functions to approximate the derivative of f(x) using the following three formulae: D1[f(x)]D2[f(x)]D3[f(x)]=hf(x)f(xh),=2hf(x+h)f(xh),=2h3f(x)4f(xh)+f(x2h). Each of your MATLAB functions should accept x and h as arguments and produce an approximate derivative as output. Also construct a separate MATLAB function to evaluate the exact derivative f(x). (b) Using your MATLAB functions, calculate the relative errors for the approximate derivatives at the points x=0 and x=0.6. Use values of h given by h=10d where d=1, 2,,10. For each value of x, create a table of results with the headings h, D1error, D2error, and D3error. Hint: I would suggest creating the table in LATEXusing output from a MATLAB script that is at worst cut-and-paste ... i.e. do not type this in by hand