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Calculus

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Marginal Cost Businesses can buy multiple licenses for data compression software at a total cost of approximately C(x) = 96x2/3 dollars for x licenses. Find the derivative of this cost function at the following values x=8 and x=64

I do not know where to start?

  • Calculus -

    Start where the instructions say "find the derivative"!

    just use the power rule

    C'(x) = 96 * 2/3 x^(-1/3) = 64/∛x
    C'(8) = 64/∛8 = 64/2 = 32
    C'(64) = 64/∛64 = 64/4 = 16

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