What is the derivative of ln(ln(x))???
- Anonymous1 decade agoFavorite Answer
your u will be the ln(x)
your du will be 1/x dx
Then you just plug and chug and it all comes out to equal
- 1 decade ago
think of this as the chain rule. Let's take the derivative of ln(u): it's u'/u, right?
If we used substitution and pretended that u=lnx, the original problem would look like ln(u).
we know the derivative of u. since u=lnx, u'=1/x.
ok so the derivative of ln(u)= u'/u = (1/x)/lnx = 1/(xlnx)
keep in mind that all values of x are the absolute value of x so it's really:
- Sergio__Lv 71 decade ago
by chain rule >> (1 / ln x) (1 / x) = 1/ (x lnx)