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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^(-2/5)-(2*x^(-1/5))-15 = 0
x^(-2/5)-2*x^(-1/5)-15 = 0
t_1 = x^(-1/5)
1*t_1^2-2*t_1^1-15 = 0
t_1^2-2*t_1-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
t_1 = (64^(1/2)+2)/(1*2) or t_1 = (2-64^(1/2))/(1*2)
t_1 = 5 or t_1 = -3
t_1 = -3
x^(-1/5)+3 = 0
1*x^(-1/5) = -3 // : 1
x^(-1/5) = -3
-1/5 < 0
1/(x^(1/5)) = -3 // * x^(1/5)
1 = -3*x^(1/5) // : -3
-1/3 = x^(1/5)
x^(1/5) = -1/3 // ^ 5
x = -1/243
t_1 = 5
x^(-1/5)-5 = 0
1*x^(-1/5) = 5 // : 1
x^(-1/5) = 5
-1/5 < 0
1/(x^(1/5)) = 5 // * x^(1/5)
1 = 5*x^(1/5) // : 5
1/5 = x^(1/5)
x^(1/5) = 1/5 // ^ 5
x = 1/3125
x in { -1/243, 1/3125 }
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