3/4(t^-1/4-t^-3/4)=0

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Solution for 3/4(t^-1/4-t^-3/4)=0 equation: 


D( t )

t = 0

t = 0

t = 0

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

(3/4)*((t^-1)/4-((t^-3)/4)) = 0

3/4*(1/4*t^-1-1/4*t^-3) = 0

1/4*t^-1-1/4*t^-3 = 0

1/4*t^-1*(1-t^-2) = 0

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

t^-2 = 1

-2 < 0

1/(t^2) = 1 // * t^2

1 = 1*t^2 // : 1

1 = t^2

t^2 = 1 // ^ 1/2

abs(t) = 1

t = 1 or t = -1

1/4*t^-1*(t-1)*(t+1) = 0

1/4*3/4*t^-1*(t-1)*(t+1) = 0

( 1/4*t^-1 )

1/4*t^-1 = 0 // : 1/4

t^-1 = 0

t należy do O

( t+1 )

t+1 = 0 // - 1

t = -1

( t-1 )

t-1 = 0 // + 1

t = 1

t in { -1, 1 }

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