Let f(x) = x(1 −2x).a. Find the average rate of change of f(x) with respect to x as x chan...

Let f(x) = x(1 −2x).

a. Find the average rate of change of f(x) with respect to x as x changes from x = 0 to

b. Use calculus to find the instantaneous rate of change of f(x) at x = 0 and compare with the average rate found in part (a).