(12t^6-8t^8)/(2t^3)

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Solution for (12t^6-8t^8)/(2t^3) equation:


D( t )

2*t^3 = 0

2*t^3 = 0

2*t^3 = 0

2*t^3 = 0 // : 2

t^3 = 0

t = 0

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

(12*t^6-(8*t^8))/(2*t^3) = 0

(12*t^6-8*t^8)/(2*t^3) = 0

12*t^6-8*t^8 = 0

4*t^6*(3-2*t^2) = 0

-2*t^2 = -3 // : -2

t^2 = 3/2

t^2 = 3/2 // ^ 1/2

abs(t) = (3/2)^(1/2)

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

4*t^6*(t-(3/2)^(1/2))*(t+(3/2)^(1/2)) = 0

(4*t^6*(t-(3/2)^(1/2))*(t+(3/2)^(1/2)))/(2*t^3) = 0

( 4*t^6 )

4*t^6 = 0 // : 4

t^6 = 0

t = 0

( t+(3/2)^(1/2) )

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

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

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

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

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

t in { 0}

t in { -(3/2)^(1/2), (3/2)^(1/2) }

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