Let f be the function defined by f(x) = x + lnx. What is the value of c for which the instantaneous rate of change of f at x = c is the same as the average rate of change of f over [1, 4]?
I think the average rate of change is f(4)-f(1)/4-1, and instantaneous one is f'(x), but they never equal?? the previous one is negative. the latter one is positive?
