How can AJAX be implemented to automatically display the next student's name and input field after submitting a grade?

To automatically display the next student's name and input field after submitting a grade using AJAX, you can use JavaScript to send an asynchronous request to the server, fetch the next student's information, and update the page dynamically without needing to refresh the entire page.

```php
<?php
// Code to handle grade submission and fetching next student's information
// This is just a basic example, you may need to adjust it based on your specific requirements

// Handle grade submission
if(isset($_POST['grade'])) {
    // Process the submitted grade
    $grade = $_POST['grade'];
    
    // Save the grade to the database or perform any necessary operations
    
    // Fetch next student's information
    $nextStudent = // Code to fetch next student's information from the database
    
    // Return the next student's information as JSON response
    header('Content-Type: application/json');
    echo json_encode($nextStudent);
    exit;
}
?>
```

This PHP code snippet provides a basic structure for handling the grade submission and fetching the next student's information. You would need to implement the actual logic to process the grade, save it to the database, and fetch the next student's details. Additionally, you would need to write JavaScript code to make an AJAX request to this PHP script, receive the JSON response containing the next student's information, and update the page accordingly.