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D( t )
t < 0
t < 0
t in <0:+oo)
(45/2)*t^(1/4)-((117/16)*t^(5/4)) = 0
(-117/16)*t^(5/4)+(45/2)*t^(1/4) = 0
45/2*t^(1/4)-117/16*t^(5/4) = 0
t_1 = t^(1/4)
45/2*t_1^1-117/16*t_1^5 = 0
45/2*t_1-117/16*t_1^5 = 0
9/2*t_1*(5-13/8*t_1^4) = 0
-13/8*t_1^4 = -5 // : -13/8
t_1^4 = 40/13
t_1^4 = 40/13 // ^ 1/4
abs(t_1) = (40/13)^(1/4)
t_1 = (40/13)^(1/4) or t_1 = -(40/13)^(1/4)
(9*t_1)/2 = 0
9/2*t_1 = 0 // : 9/2
t_1 = 0
t_1 = (40/13)^(1/4)
t^(1/4)-(40/13)^(1/4) = 0
1*t^(1/4) = (40/13)^(1/4) // : 1
t^(1/4) = (40/13)^(1/4)
t^(1/4) = (40/13)^(1/4) // ^ 4
t = 40/13
t_1 = -(40/13)^(1/4)
t^(1/4)+(40/13)^(1/4) = 0
1*t^(1/4) = -(40/13)^(1/4) // : 1
t^(1/4) = -(40/13)^(1/4)
( -(40/13)^(1/4) < 0 i 1/4 in (0:1) ) => t należy do O
t_1 = 0
t^(1/4)+0 = 0
t^(1/4) = 0
1*t^(1/4) = 0 // : 1
t^(1/4) = 0
t = 0
t in { 40/13, 0 }
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