Homework SourseFind the average rate of change of g6on the interval 42 Solu
Find the average rate of change of g()6on the interval [-4.2] ![Find the average rate of change of g()6on the interval [-4.2] SolutionThe average rate of change of g(x) on the interval [a, b] is [g(b) – g(a)]/(b - a) We hav](/WebImages/35/find-the-average-rate-of-change-of-g6on-the-interval-42-solu-1104991-1761584640-0.webp "Find the average rate of change of g()6on the interval [-4.2] SolutionThe average rate of change of g(x) on the interval [a, b] is [g(b) – g(a)]/(b - a) We hav")
Solution
The average rate of change of g(x) on the interval [a, b] is [g(b) – g(a)]/(b - a)
We have that a = -4, b = 2, g(x) = 6x^2 + (8/x^4)
Thus [g(b) – g(a)]/(b - a) = [(6*2^2 + 8/2^4) – (6*(-4)^2 + 8/(-4)^4)]/(2 – (-4)) = -763/64
Thus the average rate of change is = -763/64 = -11.92
