Y=16/x^1.5

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Solution for Y=16/x^1.5 equation: 


D( x )

x < 0

x^1.5 = 0

x < 0

x^1.5 = 0

x^1.5 = 0

1*x^1.5 = 0 // : 1

x^1.5 = 0

x = 0

x in (0:+oo)

Y = 16/(x^1.5) // - 16/(x^1.5)

Y-(16/(x^1.5)) = 0

Y-16*x^-1.5 = 0

-16*x^-1.5 = -Y // : -16

x^-1.5 = Y/16

-1.5 < 0

1/(x^1.5) = Y/16 // * x^1.5

1 = (Y/16)*x^1.5 // : Y/16

16*Y^-1 = x^1.5

x = (16*Y^-1)^(1/0.5)

x = (16*Y^-1)^(1/0.5)

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