find `dy/dx`  for `y=log[lnx]`

Expert Answers
lemjay eNotes educator| Certified Educator


To take the derivative of y with respect to x,  apply the rule `(log_b u)'= 1/(u lnb)*u'` .

Since the base of logarithm (log) is not written, it indicates that its base is 10.





Then, apply the rule `(lnu)'=1/u*u'` .






Hence, `dy/dx=1/(xln10lnx)` .

Access hundreds of thousands of answers with a free trial.

Start Free Trial
Ask a Question