Question

what is the derivative of ln(ln x^2)

Answer 1

You've a chain rule in your future. Let's see your first attempt.

Answer 2

can i use u-substitution?

Answer 3

ln(u)= du/u?

Answer 4

yes, that will work.

Answer 5

so ln(ln x^2)=(d/dx (ln x^2)) / ln(x^2)

Answer 6

2x/x^2/ ln x^2, right?

Answer 7

then it becomes 2/x ln x^2?

Answer 8

yup

Answer 9

that is the derivative of the original expression...

Answer 10

du/u is implicitly du/dx /u, since du is taken wrt x

Answer 11

so i'm right?

Answer 12

yup

Answer 13

alright, thanks!

Answer 14

d/dx (ln(ln(x^2))=2/(x*ln(x^2))