- #1
mnb96
- 715
- 5
Hello,
if I have a function [tex]f:\mathbb{R}\rightarrow \mathbb{C}[/tex], what are the conditions on f for which the derivative of the Logarithm exist?
[tex]\frac{d}{dx}\mathrm{Log} (f(x))[/tex] exists?
Note that here I defined:
[tex]Log(z)=\log |z| + Arg(z)[/tex], where [itex]-\pi< Arg(z) \leq \pi[/itex]
if I have a function [tex]f:\mathbb{R}\rightarrow \mathbb{C}[/tex], what are the conditions on f for which the derivative of the Logarithm exist?
[tex]\frac{d}{dx}\mathrm{Log} (f(x))[/tex] exists?
Note that here I defined:
[tex]Log(z)=\log |z| + Arg(z)[/tex], where [itex]-\pi< Arg(z) \leq \pi[/itex]