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Math Help - Derivative Word Problem

  1. #1
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    Derivative Word Problem

    The cost function for production of a commodity is given below. C(x) = 352 + 21x - 0.07x2 + 0.0006x^3. C'(x) = 21 - .14x + .0018x^2.

    How do I find the actual cost of producing the 101st item? I tried plugging x = 101 into C'(x), but that was wrong. Can you please show me how to find the actual cost and explain how that is different from using the derivative?
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  2. #2
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    have you tried plugging x = 101 into C(x)?
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  3. #3
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    Yeah. I got $2377.11. But I still don't think it's the correct answer... is it?
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  4. #4
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    Quote Originally Posted by maziana View Post
    the cost function for production of a commodity is given below. c(x) = 352 + 21x - 0.07x2 + 0.0006x^3. C'(x) = 21 - .14x + .0018x^2.

    How do i find the actual cost of producing the 101st item?
    c(101) - c(100)
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