Could I get some help with an A Level differentiation question please

Differentiate with respect to x:

lnx divided by x²

Thanks in advance

Use quotient rule:

d/dx (lnx / x²) = (d/dx (lnx) * x² − lnx * d/dx (x²)) / (x²)²
. . . . . . . . . . . = (1/x * x² − lnx * 2x) / x⁴
. . . . . . . . . . . = (x − 2x lnx) / x⁴
. . . . . . . . . . . = x (1 − 2 lnx) / x⁴
. . . . . . . . . . . = (1 − 2 lnx) / x³

Write ln x / x^2 as such ln x * x^(-2). Derivate with respect to x is
1/x* x^(-2) + ln x * (-2 ) x^( -3 ) =
(1-2lnx) / x ^ 3

Bye