What is the derivative of # ln (lnx)#?

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Answer 1 · 2016-06-23T09:31:17

#1/ (x ln(x) ) #

# y = ln(ln(x)) #

#dy/dx = 1/(lnx) d/dx (lnx)= 1/(lnx) 1/x = 1/ (x ln(x) ) #

in detail

let #y = ln p# and #p = ln x#
#dy/(dp) = 1/p#

#(dp)/dx = 1/x#

#dy/dx = dy/(dp) * (dp)/dx = 1/p * 1/x = 1/ (x ln(x) )#