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Differentiate $y=\sqrt{\dfrac{12-x^2}{x^3}}$
in MAT1581 by Diamond (41.4k points) | 13 views

1 Answer

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y = (12/x^3)^0.5 - x^2/X^3

    = (12/X^3)^0.5 - x^-0.5

dy/dx = (12)^0.5 (-3/2) (x^-5/2) + 1/2(x)^-3/2

         =3^3/2(x^-5/2) + 1/2(x)^-3/2
by Bronze Status (5.1k points)

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