Consider the function f(x) = x3 + x. Find the average rate of change of f(x) on the interval [0,1]. Find the rate of change at x=1. Find the instantaneous rate of change. Please explain and show work on how to find the inst ROC. I think I know the avg ROC but just show work to confirm. Thanks :) Solution Avg. rate of change=f(1)-f(0)/1 = 2. instantenous rate of change=f\'(x)=3x2+1 f\'(1)=4..