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Rates of Change in Applied Contexts

AP Calculus AB· difficulty 2/5

If R(x)=x(100−2x)R(x) = x(100 - 2x) is revenue from selling xx units, marginal revenue at x=20x = 20 is

  • A

    6060

  • B

    8080

  • C

    00

  • D

    2020

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Explanation

R(x)=100x−2x2R(x) = 100x - 2x^2. R′(x)=100−4xR'(x) = 100 - 4x. At x=20x = 20: 2020.

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