Applied Calculus

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Use differentials to approximate the quantity (give answer to 4 decimal places)

4th root of 256.6.

  • Applied Calculus -

    4.00234169288

  • Applied Calculus -

    If y = x^1/4,
    dy = 1/4 x^-3/4 dx
    setting x = 256
    dx = .6, we get

    dy = 1/4 (256^-3/4)(.6)
    = (1/4)(1/64)(.6)
    = 0.00234

    so, y ~= y+dy = 4.00234

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