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D( Q )
Q < 0
Q = 0
Q < 0
Q = 0
Q = 0
Q in (0:+oo)
500*Q^(-1/2) = 4*Q // - 4*Q
500*Q^(-1/2)-(4*Q) = 0
500*Q^(-1/2)-4*Q = 0
t_1 = Q^(1/2)
500*t_1^-1-4*t_1^2 = 0
(500*t_1^0-4*t_1^3)/(t_1^1) = 0 // * t_1^2
t_1^1*(500*t_1^0-4*t_1^3) = 0
t_1^1
500-4*t_1^3 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 10, -10, 20, -20, 25, -25, 50, -50, 100, -100, 125, -125, 250, -250, 500, -500 }
1
t_1 = 1
500-4*t_1^3 = 496
1
-1
t_1 = -1
500-4*t_1^3 = 504
-1
2
t_1 = 2
500-4*t_1^3 = 468
2
-2
t_1 = -2
500-4*t_1^3 = 532
-2
4
t_1 = 4
500-4*t_1^3 = 244
4
-4
t_1 = -4
500-4*t_1^3 = 756
-4
5
t_1 = 5
500-4*t_1^3 = 0
5
t_1-5
-4*t_1^2-20*t_1-100
500-4*t_1^3
t_1-5
4*t_1^3-20*t_1^2
500-20*t_1^2
20*t_1^2-100*t_1
500-100*t_1
100*t_1-500
0
-4*t_1^2-20*t_1-100 = 0
DELTA = (-20)^2-(-100*(-4)*4)
DELTA = -1200
DELTA < 0
t_1 in { 5}
t_1 = 5
Q^(1/2)-5 = 0
1*Q^(1/2) = 5 // : 1
Q^(1/2) = 5
Q^(1/2) = 5 // ^ 2
Q = 25
Q = 25
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