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11 October, 05:44

Derivatives of 250x/x+15

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  1. 11 October, 08:12
    0
    3750 / (x + 15) ^2.

    Step-by-step explanation:

    We use the quotient rule:

    If f (x) = u/v then f' (x) = (v du/dx - u dv/dx) / v^2

    So here the derivative is

    (x + 15) * 250 - 250x * 1) / (x + 15) ^2

    = (250x + 3750 - 250x) / (x + 15) ^2

    = 3750 / (x + 15) ^2.
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