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D( x )
x-(6/x) <= 0
x = 0
x-(6/x) <= 0
x-(6/x) <= 0
x-6*x^-1 <= 0
x-6*x^-1 = 0
x^-1*(x^2-6) = 0
1*x^2 = 6 // : 1
x^2 = 6
x^2 = 6 // ^ 1/2
abs(x) = 6^(1/2)
x = 6^(1/2) or x = -6^(1/2)
1/x = 0
1*x^-1 = 0 // : 1
x^-1 = 0
x należy do O
(x-6^(1/2))*(x+6^(1/2)) <= 0
(-oo:-6^(1/2)) (-6^(1/2):6^(1/2)) (6^(1/2):+oo) x-6^(1/2) - - + x+6^(1/2) - + +
x = 0
x = 0
x in (-oo:-6^(1/2)) U (6^(1/2):+oo)
log(6)(x-(6/x)) = 0
log(6)(x-6*x^-1) = 0
log(6)(x-6*x^-1) = log(6)(6^0)
x-6*x^-1 = 6^0
x-6*x^-1-6^0 = 0
1*x^1-6*x^-1-1*x^0 = 0
(1*x^2-1*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-1*x^1-6*x^0) = 0
x^1
x^2-x-6 = 0
x^2-x-6 = 0
DELTA = (-1)^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)
x = 3 or x = -2
x in { -2, 3}
x in { -2}
x = 3
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