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D( x )
x < 0
x = 0
x < 0
x = 0
x = 0
x in (0:+oo)
x^(1/2)-x^(-1/2)-(56*x^(-3/2)) = 0
x^(1/2)-x^(-1/2)-56*x^(-3/2) = 0
x^(1/2)-x^(-1/2)-56*x^(-3/2) = 0
x^(-1/2)*(x-56*x^-1-1) = 0
1*x^1-56*x^-1-1*x^0 = 0
(1*x^2-1*x^1-56*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-1*x^1-56*x^0) = 0
x^1
x^2-x-56 = 0
x^2-x-56 = 0
DELTA = (-1)^2-(-56*1*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)+1)/(1*2) or x = (1-225^(1/2))/(1*2)
x = 8 or x = -7
x in { -7, 8}
1/(x^(1/2)) = 0
1*x^(-1/2) = 0 // : 1
x^(-1/2) = 0
x należy do O
x in { -7}
x = 8
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