Math $342$:

a$)$ Write ln$(($e$^(\backslash$sqrt$($x$)))/(\backslash$sqrt$($x$)))$ as a sum in the simplest terms.

b$)$ Let f$($x$)=$ln$($e$^(\backslash$sqrt$($x$))\backslash$sqrt$($x$))$ Find f$\text{'}($x$).$ Simplify your answer.

c$)$ Find the point where the line tangent to the graph of f$($x$)$ is horizontal.