((6x^7)-(12x^4))/(3x^3)

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Solution for ((6x^7)-(12x^4))/(3x^3) equation:


D( x )

3*x^3 = 0

3*x^3 = 0

3*x^3 = 0

3*x^3 = 0 // : 3

x^3 = 0

x = 0

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

(6*x^7-(12*x^4))/(3*x^3) = 0

(6*x^7-12*x^4)/(3*x^3) = 0

6*x^7-12*x^4 = 0

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

1*x^3 = 2 // : 1

x^3 = 2

x^3 = 2 // ^ 1/3

x = 2^(1/3)

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

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

( 6*x^4 )

6*x^4 = 0 // : 6

x^4 = 0

x = 0

( x-2^(1/3) )

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

x = 2^(1/3)

x in { 0}

x = 2^(1/3)

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