# Math Help - logarithmic differentiation

1. ## logarithmic differentiation

How does one use logarithmic differentiation to differentiate this function:

f(x) = x^x

2. Originally Posted by Quixotic
How does one use logarithmic differentiation to differentiate this function:

f(x) = x^x
$\ln\text{ }f=x\ln(x)$ so that $\frac{f'}{f}=1+\ln(x)$ and so $f'=f\left(1+\ln(x)\right)$, but $f=x^x$ and so $f'=x^x\left(1+\ln(x)\right)$

3. Quixotic, huh? Like hopelessly capricious?

4. Originally Posted by Drexel28
Quixotic, huh? Like hopelessly capricious?
Yes. Sudden, unreachable goals are a hobby of mine.