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14 November, 16:31

Second derivative of y=2x^ (1/5) + 3

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  1. 14 November, 16:48
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    d²y/dx² = - 8/25 (x) ^ (-9/5)

    Step-by-step explanation:

    y = 2 (x) ^ (1/5) + 3

    Use power rule:

    dy/dx = 2 (1/5) (x) ^ (1/5 - 1)

    dy/dx = 2/5 (x) ^ (-4/5)

    Use power rule again:

    d²y/dx² = 2/5 (-4/5) (x) ^ (-4/5 - 1)

    d²y/dx² = - 8/25 (x) ^ (-9/5)
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