(t-1/t)^3/2

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Solution for (t-1/t)^3/2 equation: 


D( t )

t = 0

t = 0

t = 0

t in (-oo:0) U (0:+oo)

((t-(1/t))^3)/2 = 0

((t-t^-1)^3)/2 = 0

t-t^-1 = 0

t^-1*(t^2-1) = 0

1*t^2 = 1 // : 1

t^2 = 1

t^2 = 1 // ^ 1/2

abs(t) = 1

t = 1 or t = -1

t^-1*(t-1)*(t+1) = 0

((t^-1)^3*(t-1)^3*(t+1)^3)/2 = 0

( t+1 )

t+1 = 0 // - 1

t = -1

( t-1 )

t-1 = 0 // + 1

t = 1

( t^-1 )

1*t^-1 = 0 // : 1

t^-1 = 0

t należy do O

t in { -1, -1, -1, 1, 1, 1 }

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