3Y^(-2/3)=192

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Solution for 3Y^(-2/3)=192 equation: 


D( Y )

Y = 0

Y = 0

Y = 0

Y in (-oo:0) U (0:+oo)

3*Y^(-2/3) = 192 // - 192

3*Y^(-2/3)-192 = 0

3*Y^(-2/3) = 192 // : 3

Y^(-2/3) = 64

-2/3 < 0

1/(Y^(2/3)) = 64 // * Y^(2/3)

1 = 64*Y^(2/3) // : 64

1/64 = Y^(2/3)

Y^(2/3) = 1/64 // ^ 3

Y^2 = 1/262144 // ^ 1/2

abs(Y) = 1/512

Y = 1/512 or Y = -1/512

Y in { 1/512, -1/512 }

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