1. Let f(x)=?1x3+3.5x?2. In this problem you will estimate f?(2) by computing the average rate of change of f(x) over a small interval. Round your answers to three decimal places.
First choose the interval of length .1 with 2 being the left endpoint of the interval. Then f?(2)?
Now let the interval have length .01. Then f?(2)?
Finally let the interval have length .001 Then f?(2)?