What is the Derivative of logx(x) in Base x?

[Karlisbad]

i would need some help to find the derivative of:

$$y=log_{x} (x)$$ respect to x.. the log is itself in base "x"... to make the problem harder.

 

[radou]

Hint: $$\log_{b}x = \frac{\ln x}{\ln b}$$.

Note that I changed the name of the base to b, rather than x.

 

[mathman]

log_x(x)=1. Therefore the derivative=0.