f(x)=−4x^(3)+6.5x+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.

Question

1. First choose the interval of length .1 with -2 being the left endpoint of the interval.
Then f′(−2)=

Answer 1

(f(-1.9)-f(-2))/.1 = (-4(-1.9)^3+6.5(-1.9)+2 - (-4(-2)^3+6.5(-2)+2))/.1 = -2.867