Businesses can buy multiple licenses for a data compression software at a total cost of approximately C(x) = 24x^2/3 dollars for x licenses. Find the derivative of this cost function at the following. (a) x = 8 $ Interpret your answer.

When eight licenses are purchased, the cost to purchase the first license is approximately this amount. Each license costs this amount. Eight licenses cost this amount. When eight licenses are purchased, the cost to purchase one more license is approximately this amount. When eight licenses are purchased, the average cost per license is this amount.

(b)

x = 64

$ Interpret your answer.

Sixty-four licenses cost this amount. When sixty-four licenses are purchased, the cost to purchase the first license is approximately this amount. When sixty-four licenses are purchased, the cost to purchase one more license is approximately this amount. Each license costs this amount. When sixty-four licenses are purchased, the average cost per license is this amount.