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D( t )
t < 0
t = 0
t < 0
t = 0
t = 0
t in (0:+oo)
(3/4)*t^(-1/4)-((1/2)*t^(-3/4)) = 0
(3/4)*t^(-1/4)+(-1/2)*t^(-3/4) = 0
3/4*t^(-1/4)-1/2*t^(-3/4) = 0
t_1 = t^(-1/4)
3/4*t_1^1-1/2*t_1^3 = 0
3/4*t_1-1/2*t_1^3 = 0
1/2*t_1*(3/2-t_1^2) = 0
-1*t_1^2 = -3/2 // : -1
t_1^2 = 3/2
t_1^2 = 3/2 // ^ 1/2
abs(t_1) = (3/2)^(1/2)
t_1 = (3/2)^(1/2) or t_1 = -(3/2)^(1/2)
t_1/2 = 0
1/2*t_1 = 0 // : 1/2
t_1 = 0
t_1 = (3/2)^(1/2)
t^(-1/4)-(3/2)^(1/2) = 0
1*t^(-1/4) = (3/2)^(1/2) // : 1
t^(-1/4) = (3/2)^(1/2)
-1/4 < 0
1/(t^(1/4)) = (3/2)^(1/2) // * t^(1/4)
1 = (3/2)^(1/2)*t^(1/4) // : (3/2)^(1/2)
1/((3/2)^(1/2)) = t^(1/4)
t^(1/4) = 1/((3/2)^(1/2)) // ^ 4
t = 4/9
t_1 = -(3/2)^(1/2)
t^(-1/4)+(3/2)^(1/2) = 0
1*t^(-1/4) = -(3/2)^(1/2) // : 1
t^(-1/4) = -(3/2)^(1/2)
-1/4 < 0
1/(t^(1/4)) = -(3/2)^(1/2) // * t^(1/4)
1 = -(3/2)^(1/2)*t^(1/4) // : -(3/2)^(1/2)
1/(-(3/2)^(1/2)) = t^(1/4)
t^(1/4) = 1/(-(3/2)^(1/2)) // ^ 4
t = 4/9
t_1 = 0
t^(-1/4)+0 = 0
t^(-1/4) = 0
1*t^(-1/4) = 0 // : 1
t^(-1/4) = 0
t naleu017Cy do O
t in { 4/9, 4/9 }
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