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

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Solution for -x^(-1/3)*e^(-x)*(x-2/3)=0 equation: 


D( x )

-x = 0

-x = 0

x = 0

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

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

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

(-x)^(-1/3)*e^-x = 0

(-x)^(-1/3) = 0

-1*x^(-1/3) = 0 // : -1

x^(-1/3) = 0

x należy do O

e^-x = 0

x należy do O

(-x)^(-1/3)*e^-x = 0  <=>  (-x)^(-1/3) = 0 or (-x)^(-1/3)*e^-x = 0  <=>  e^-x = 0

x-(2/3) = 0

x-2/3 = 0

x-2/3 = 0 // + 2/3

x = 2/3

(-x)^(-1/3)*e^-x*(x-(2/3)) = 0  <=>  (-x)^(-1/3)*e^-x = 0 or (-x)^(-1/3)*e^-x*(x-(2/3)) = 0  <=>  x-(2/3) = 0

x = 2/3

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