What is the derivative of ln x divided by x cubed?

I will use the quotient rule here.

d/dx(f(x)/g(x) = g(x)*f'(x) - f(x)*g'(x)/[g(x)]2

x3*1/x - ln(x)*3x2/(x3)2

x3/x - 3ln(x)x2/x6

x2 - 3ln(x)x2/x6

= - 3ln(x)/x4

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