2x^-1/2(3x^4-x^1/2)

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Solution for 2x^-1/2(3x^4-x^1/2) equation: 


D( x )

x = 0

x = 0

x = 0

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

((2*x^-1)/2)*(3*x^4-((x^1)/2)) = 0

((2*x^-1)/2)*(3*x^4-(x/2)) = 0

x^-1*(3*x^4-1/2*x) = 0

3*x^4-1/2*x = 0

x*(3*x^3-1/2) = 0

3*x^3 = 1/2 // : 3

x^3 = 1/6

x^3 = 1/6 // ^ 1/3

x = (1/6)^(1/3)

x*(x-(1/6)^(1/3)) = 0

x^-1*x*(x-(1/6)^(1/3)) = 0

( x-(1/6)^(1/3) )

x-(1/6)^(1/3) = 0 // + (1/6)^(1/3)

x = (1/6)^(1/3)

( x )

x = 0

( x^-1 )

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

x^-1 = 0

x należy do O

x in { 0} 

x = (1/6)^(1/3)

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