(x^5-x)/x^4

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Solution for (x^5-x)/x^4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

(x^5-x)/(x^4) = 0

x^5-x = 0

x*(x^4-1) = 0

1*x^4 = 1 // : 1

x^4 = 1

x^4 = 1 // ^ 1/4

abs(x) = 1

x = 1 or x = -1

x*(x-1)*(x+1) = 0

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

( x )

x = 0

x in { 0} 

x in { -1, 1 }

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