Final answer:
To resolve unhandled exceptions in Node.js, include proper error handling like try-catch blocks and .catch() for promises, log exceptions for analysis, and utilize process management tools to restart the process after logging the error.
Step-by-step explanation:
The preferred method of resolving unhandled exceptions in Node.js involves several best practices. Firstly, you should always include proper error handling in your code to prevent exceptions from going unhandled. Utilize try-catch blocks for synchronous code and make sure that you have adequate error handling for asynchronous processes, such as using .catch() with promises or error handling callbacks.
In a production environment, unhandled exceptions should be logged for later analysis. You can do this by listening to the 'uncaughtException' event on the process object. However, after an unhandled exception is caught, the Node.js process is in an undefined state and should be restarted. Therefore, you should make use of process management tools like PM2, Forever, or Docker, which can restart the process automatically.
Additionally, it's good practice to perform a graceful shutdown where possible, cleaning up resources and exiting the process cleanly. This can be triggered from the 'uncaughtException' event listener, after logging the error and before restarting the process.