Charcoal, 17 13 bytes
Thanks to @Neil for saving 4 bytes!
(↙↓⊖θM↑(→↗N‖M
Explanation:
(↙ // Print '(' and move one step down and to the left.
↓⊖θ // Print n-1 '|'s downwards.
M↑ // Move one step up.
(→ // Print '(' and move one step to the leftright.
↗N // Print n '/'s towards the upper right corner.
‖M // Mirror the left half to produce the right half.