What is the derivative of $ln(ln(2x))$ ?

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Answer 1 · 2015-02-03T15:47:19

The answer is: $y'=1/(xlnx)$

The rule of derivative of function of function says:

$y=f(g(x))rArry'=f'(g(x))*g'(x)$ .

So:

$y'=1/ln(2x)*1/(2x)*2=1/(xlnx)$ .

What is the derivative of ln(ln(2x))ln(ln(2x))?