How Do You Derive f(x) = 1/(ln(x)^2)?

[christinee112]

Homework Statement

Find the derivative of f(x):
f(x)= 1/ ((ln(x)^2))

Homework Equations

f(x)= ln(x)
f'(x)= 1/((ln(x))

The Attempt at a Solution

Dx(1/ln(x)^2) =
Dx((ln(x))^-2)=
-2*(ln(x)^-3) * Dx(ln(x)) =
-2*(ln(x)^-3) * 1/x =
-2/(x*ln(x)^3)

Are these the correct steps? I'm getting myself confused

 

[BrownianMan]

This is correct.