Find the Derivative $f(x)=e^{x+\ln |x|}$ A) $e^{x}\left(1+\frac{1}{x}\right)$ B) $e^{x}+e^{\ln |x|}$ C) $e^{x}(x+1)$ D) $e^{x+\ln |x|}$

Find the derivative.
- $f(x) =e^{x+\ln |x|}$

A) $e^{x}\left(1+\frac{1}{x}\right)$
B) $e^{x}+e^{\ln |x|}$
C) $e^{x}(x+1)$
D) $e^{x+\ln |x|}$