7x^3e^7x-3x^2e^7x/x^6

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Solution for 7x^3e^7x-3x^2e^7x/x^6 equation:


D( x )

x^6 = 0

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

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

7*e^7*x*x^3-((3*e^7*x*x^2)/(x^6)) = 0

7*e^7*x*x^3-3*e^7*x^-3 = 0

7*e^7*x^4-3*e^7*x^-3 = 0

x^-3*(7*e^7*x^7-3*e^7) = 0

7*e^7*x^7 = -(-3*e^7) // : 7*e^7

x^7 = 3/7

x^7 = 3/7 // ^ 1/7

x = (3/7)^(1/7)

1/(x^3) = 0

1*x^-3 = 0 // : 1

x^-3 = 0

x należy do O

x = (3/7)^(1/7)

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