Question

Let f(x)=1x^3+2.5x+3. In this problem you will estimate f'(-3) by computing the average rate of change of f(x)over a small interval. Round your answers to three decimal places.

1. First choose the interval of length .1 with -3 being the left endpoint of the interval. Then f'(-3)=

2. Now let the interval have length .01. Then f'(-3)=

3. Finally let the interval have .001. Then f'(-3)=