X^(1/3)-4x^(-1/3)

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Solution for X^(1/3)-4x^(-1/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

X^(1/3)-(4*x^(-1/3)) = 0

X^(1/3)-4*x^(-1/3) = 0

-4*x^(-1/3) = -X^(1/3) // : -4

x^(-1/3) = (X^(1/3))/4

-1/3 < 0

1/(x^(1/3)) = (X^(1/3))/4 // * x^(1/3)

1 = ((X^(1/3))/4)*x^(1/3) // : (X^(1/3))/4

4*X^(-1/3) = x^(1/3)

x^(1/3) = 4*X^(-1/3) // ^ 3

x = 64*X^-1

x = 64*X^-1

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