Businesses can buy multiple licenses for a data compression software at a total cost of approximately C(x) = 48x^2/3 dollars for

Question

Businesses can buy multiple licenses for a data compression software at a total cost of approximately C(x) = 48x^2/3 dollars for x licenses. Find the derivative of this cost function at the following.
(a) x=8
Interpret your answer.
Each license costs this amount.
When eight licenses are purchased, the average cost per license is this amount.
Eight licenses cost this amount.
When eight licenses are purchased, the cost to purchase the first license is approximately this amount.
When eight licenses are purchased, the cost to purchase one more license is approximately this amount.
(b) x = 64
Interpret your answer.
Each license costs this amount.
When sixty-four licenses are purchased, the cost to purchase one more license is approximately this amount.
When sixty-four licenses are purchased, the average cost per license is this amount.
Sixty-four licenses cost this amount.
When sixty-four licenses are purchased, the cost to purchase the first license is approximately this amount.

Kunduz · Accepted Answer

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