Consider the function f(x)=3x25x. Parts a. through e. are all variations of the same idea - the average rate of change of a function.a. Find the average rate of change between points on the graph of f(x) at x-values of x0=1 and x1=3. avg.r.o.c.=b. Find the average rate of change between points on the graph of f(x) at x-values of x0=1 and x1=1h, where h is the positive, but yet unknown, horizontal distance between the points on the graph.avg.r.o.c.=c. Suppose we knew h=2, use the formula from (b.) to verify the answer from (a.). In other words, substitute h=2 into the 'slope formula' that you found in (b.). This answer should look familiar, does it?avg.r.o.c.=d. Find the average rate of change between points on the graph of f(x) at x-values of x and xh, where h is the positive, but yet unknown horizontal distance between the points. Hint: In general this answer will contain both x and h.avg.r.o.c.=e. Substitute both x=1 and h=2 into the formula you just found in (d.). This answer, a number, should look familiar, does it?avg.r.o.c.=f. Using your answer to (d.), find the slope of the tangent line to f(x) at x or the derivative of f(x), written f'(x), by setting h to zero. This finishes the longer (more formal) calculation from class,f'(x)=M