(16y^3-4y)/(4y)

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Solution for (16y^3-4y)/(4y) equation: 


D( y )

4*y = 0

4*y = 0

4*y = 0

4*y = 0 // : 4

y = 0

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

(16*y^3-(4*y))/(4*y) = 0

(16*y^3-4*y)/(4*y) = 0

16*y^3-4*y = 0

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

4*y^2 = 1 // : 4

y^2 = 1/4

y^2 = 1/4 // ^ 1/2

abs(y) = 1/2

y = 1/2 or y = -1/2

4*y*(y-1/2)*(y+1/2) = 0

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

( y+1/2 )

y+1/2 = 0 // - 1/2

y = -1/2

( y-1/2 )

y-1/2 = 0 // + 1/2

y = 1/2

y in { -1/2, 1/2 }

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