x 0 0.2 0.4 0.6 0.8 1 1.2f(x) 0 9.22 9.44 9.66 9.88 14.6 14.821. Estimate f′(0.6). To do this, first compute the average rate of change of f just to the left of 0.6, i.e, the average rate of change from 0.4 to 0.6. Next,compute the average rate of change of f just to right of 0.6, i.e., the average rate of change of f from 0.6 to 0.8. Then, average these two averages to get an estimate for f′(0.6).2. Estimate f″(0.6) by first estimating the first derivative at 0.4, 0.6, and 0.8.Specifically, proceed as follows. Use the same technique that you used in part (1) to estimate f′(0.4). Next, use this same technique to estimate f′(0.8).At this point, you will have computed the values of f′ at 0.4, 0.6, and 0.8. Reasoning in a similar manner to that used in part 1 above, use your estimates for f′(0.4), f′(0.6) and f′(0.8) to make an estimate for f″(0.6).

x 0 0.2 0.4 0.6 0.8 1 1.2
f(x) 0 9.22 9.44 9.66 9.88 14.6 14.82

1. Estimate f′(0.6). To do this, first compute the average rate of change of f just to the left of 0.6, i.e, the average rate of change from 0.4 to 0.6. Next,compute the average rate of change of f just to right of 0.6, i.e., the average rate of change of f from 0.6 to 0.8. Then, average these two averages to get an estimate for f′(0.6).

2. Estimate f″(0.6) by first estimating the first derivative at 0.4, 0.6, and 0.8.
Specifically, proceed as follows. Use the same technique that you used in part (1) to estimate f′(0.4). Next, use this same technique to estimate f′(0.8).
At this point, you will have computed the values of f′ at 0.4, 0.6, and 0.8. Reasoning in a similar manner to that used in part 1 above, use your estimates for f′(0.4), f′(0.6) and f′(0.8) to make an estimate for f″(0.6).