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29 August, 00:54

If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Give only the numerical answer. For example, if dy/dt=3, type only 3.

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  1. 29 August, 02:22
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    dy/dt = 8

    Step-by-step explanation:

    y = 2x^3 - 4x

    dy/dt = 2 * 3x^2 dx/dt - 4 dx/dt

    dy/dt = 6x^2 dx/dt - 4 dx/dt

    substitute dx/dt = 4 and x=1

    dy/dt = 6 * (1) ^2 * 4 - 4 (4)

    dy/dt = 24-16

    dy/dt = 8
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