y=10x^-2/3

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Solution for y=10x^-2/3 equation:


D( x )

x = 0

x = 0

x = 0

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

y = (10*x^-2)/3 // - (10*x^-2)/3

y-((10*x^-2)/3) = 0

(-10/3)*x^-2+y = 0

-10/3*x^-2 = -y // : -10/3

x^-2 = 3/10*y

-2 < 0

1/(x^2) = 3/10*y // * x^2

1 = 3/10*x^2*y // : 3/10*y

10/3*y^-1 = x^2

x^2 = 10/3*y^-1 // ^ 1/2

abs(x) = (10/3)^(1/2)*y^(-1/2)

x = (10/3)^(1/2)*y^(-1/2) or x = -((10/3)^(1/2)*y^(-1/2))

x in { (10/3)^(1/2)*y^(-1/2), -((10/3)^(1/2)*y^(-1/2)) }

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