4x^-5/3+8x^1/3

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Solution for 4x^-5/3+8x^1/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(8*x^1)/3+(4*x^-5)/3 = 0

(8*x)/3+(4*x^-5)/3 = 0

8/3*x+4/3*x^-5 = 0

4/3*x*(x^-6+2) = 0

1*x^-6 = -2 // : 1

x^-6 = -2

-6 < 0

1/(x^6) = -2 // * x^6

1 = -2*x^6 // : -2

-1/2 = x^6

(4*x)/3 = 0

4/3*x = 0 // : 4/3

x = 0

x in { 0} 

x belongs to the empty set

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