Derivative of ln(ln x) Solution | Step-by-Step Guide

[Physicsnut]

Homework Statement

Differentiate $$ln(lnx)$$

Homework Equations

The Attempt at a Solution

My solution:
Let $f(x)=lnx$, since${d/dx}ln f(x)={f'(x)/f(x)}$,
${d/dx}ln(lnx)={{1/x}/lnx}/times {1/x}
={1/x^2lnx}$.

 

[tiny-tim]

Welcome to PF!

Hi Physicsnut! Welcome to PF!

Let f(x)=lnx, since d/dx ln f(x) = {f'(x)/f(x)},

yes

{d/dx}ln(lnx) = {{1/x}/lnx}/times {1/x}

nooo

 

[Fredrik]

Surround your LaTeX code with either ## or $$. A single $ doesn't work. This is deliberate, because it would have confused people who don't use LaTeX but write stuff about money. LaTeX guide for the forum.

 

[HallsofIvy]

$e^x$
$$x^n$$
$\int f(x)dx$
$$\frac{df}{dx}$$

Wow! All this time I have been using "itex" and "tex"!

 

[Fredrik]

Wow! All this time I have been using "itex" and "tex"!

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