x^2/3-2*x^-3/5

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Solution for x^2/3-2*x^-3/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2)/3-((2*x^-3)/5) = 0

(x^2)/3+(-2/5)*x^-3 = 0

1/3*x^2-2/5*x^-3 = 0

x^2*(1/3-2/5*x^-5) = 0

-2/5*x^-5 = -1/3 // : -2/5

x^-5 = 5/6

-5 < 0

1/(x^5) = 5/6 // * x^5

1 = 5/6*x^5 // : 5/6

6/5 = x^5

x^5 = 6/5 // ^ 1/5

x = (6/5)^(1/5)

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x = (6/5)^(1/5)

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