2n^-2/3(n8/3-3n5/3)

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Solution for 2n^-2/3(n8/3-3n5/3) equation: 


D( n )

n = 0

n = 0

n = 0

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

((2*n^-2)/3)*((n^8)/3-((3*n^5)/3)) = 0

((2*n^-2)/3)*((n^8)/3-n^5) = 0

2/3*n^-2*(1/3*n^8-n^5) = 0

1/3*n^8-n^5 = 0

n^5*(1/3*n^3-1) = 0

1/3*n^3 = 1 // : 1/3

n^3 = 3

n^3 = 3 // ^ 1/3

n = 3^(1/3)

n^5*(n-3^(1/3)) = 0

2/3*n^-2*n^5*(n-3^(1/3)) = 0

( 2/3*n^-2 )

2/3*n^-2 = 0 // : 2/3

n^-2 = 0

n należy do O

( n-3^(1/3) )

n-3^(1/3) = 0 // + 3^(1/3)

n = 3^(1/3)

( n^5 )

1*n^5 = 0 // : 1

n^5 = 0

n = 0

n in { 0} 

n = 3^(1/3)

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