Find the Derivative $f(x)=e^{x} \ln x, x>0$ A) $e^{x} \ln x$ B) $\frac{e^{x}(\ln x+x)}{x}$

Multiple Choice

Find the derivative.
- $f(x) =e^{x} \ln x, x>0$

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