(5x^2/3/3)(ln(3x))

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Solution for (5x^2/3/3)(ln(3x)) equation: 


D( x )

3*x <= 0

3*x <= 0

3*x <= 0

3*x+0 <= 0 // - 0

3*x <= 0 // : 3

x <= 0/3

x <= 0

x in (0:+oo)

(((5*x^2)/3)/3)*ln(3*x) = 0

((5*x^2)/3)/3 = 0

5/9*x^2 = 0 // : 5/9

x^2 = 0

x = 0

ln(3*x) = 0

ln(3*x) = ln(e^0)

3*x = e^0

3*x-e^0 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

(((5*x^2)/3)/3)*ln(3*x) = 0  <=>  ((5*x^2)/3)/3 = 0 or (((5*x^2)/3)/3)*ln(3*x) = 0  <=>  ln(3*x) = 0

x in { 0} 

x = 1/3

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