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D( t )
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
(1/3)*t+(1/5)*t+1/t = 9 // - 9
(1/3)*t+(1/5)*t+1/t-9 = 0
8/15*t^1+1*t^-1-9*t^0 = 0
(8/15*t^2-9*t^1+1*t^0)/(t^1) = 0 // * t^2
t^1*(8/15*t^2-9*t^1+1*t^0) = 0
t^1
(8/15)*t^2-9*t+1 = 0
(8/15)*t^2-9*t+1 = 0
DELTA = (-9)^2-(1*4*(8/15))
DELTA = 1183/15
DELTA > 0
t = ((1183/15)^(1/2)+9)/(2*(8/15)) or t = (9-(1183/15)^(1/2))/(2*(8/15))
t = 15/16*((1183/15)^(1/2)+9) or t = 15/16*(9-(1183/15)^(1/2))
t in { 15/16*(9-(1183/15)^(1/2)), 15/16*((1183/15)^(1/2)+9)}
t in { 15/16*(9-(1183/15)^(1/2)), 15/16*((1183/15)^(1/2)+9) }
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