(y-y^(-1))/(y+y^(-1))

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Solution for (y-y^(-1))/(y+y^(-1)) equation: 


D( y )

y = 0

y+y^-1 = 0

y = 0

y = 0

y+y^-1 = 0

y+y^-1 = 0

1*y^1+1*y^-1 = 0

(1*y^2+1*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2+1*y^0) = 0

y^1

y^2+1 = 0

y^2+1 = 0

DELTA = 0^2-(1*1*4)

DELTA = -4

DELTA < 0

y in { } 

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

(y-y^-1)/(y+y^-1) = 0

y-y^-1 = 0

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

1*y^2 = 1 // : 1

y^2 = 1

y^2 = 1 // ^ 1/2

abs(y) = 1

y = 1 or y = -1

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

y+y^-1 = 0

y^-1*(y^2+1) = 0

1*y^2 = -1 // : 1

y^2 = -1

1/y = 0

(y^-1*(y-1)*(y+1))/(y^-1) = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-1 )

y-1 = 0 // + 1

y = 1

( y^-1 )

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

y^-1 = 0

y naleu017Cy do O

y in { -1, 1 }

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