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D( x )
x < 0
x = 0
x < 0
x = 0
x = 0
x in (0:+oo)
x^(1/2)+3*x^(-1/2) = 10*x^(-3/2) // - 10*x^(-3/2)
x^(1/2)+3*x^(-1/2)-(10*x^(-3/2)) = 0
x^(1/2)+3*x^(-1/2)-10*x^(-3/2) = 0
x^(1/2)+3*x^(-1/2)-10*x^(-3/2) = 0
x^(-1/2)*(x-10*x^-1+3) = 0
1*x^1-10*x^-1+3*x^0 = 0
(1*x^2+3*x^1-10*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2+3*x^1-10*x^0) = 0
x^1
x^2+3*x-10 = 0
x^2+3*x-10 = 0
DELTA = 3^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)
x = 2 or x = -5
x in { -5, 2}
1/(x^(1/2)) = 0
1*x^(-1/2) = 0 // : 1
x^(-1/2) = 0
x naleu017Cy do O
x in { -5}
x = 2
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