How Accurate Is the Logarithmic Differentiation in This Example?

[Ry122]

Question:
Find derivative of f(x)=((x^2)(x^3))/((x^4)(x^2))
Attempt:
ln f(x)=(lnx^2)+(lnx^3)-(lnx^4)-(lnx^2)
Can someone tell me what I have done wrong so far?
Thanks

 

[rootX]

forgot to take log of both sides?

bring your powers down.. oo well, u prolly know this

 

[cristo]

Why don't you just simplify and then differentiate?

 

[Ry122]

I did take the log of both sides. I'm doing it this way because i need to learn this method of differentiation.

 

[rootX]

oo yep, just realized that.
everything looks good