Question

Write a difference quotient that best approximates the instantaneous rate of change of g at x=0

Answer 1

Step-by-step explanation:

The difference quotient is simply the slope of the line connecting two points on a curve.  For the best approximation, we should use points that are closest to x = 0.  In this case, the points are (-0.001, 1.999) and (0.001, 2.001).

m = (2.001 − 1.999) / (0.001 − (-0.001))

m = 1