How can PHP be used to dynamically update a DHTML page based on changing values on the server?

To dynamically update a DHTML page based on changing values on the server, you can use AJAX in combination with PHP. AJAX allows for asynchronous communication between the client-side and server-side, enabling real-time updates without refreshing the entire page. By using PHP to handle the server-side logic and data processing, you can fetch updated information from a database or external API and send it back to the client-side for dynamic rendering.

```php
// PHP code to fetch updated data and send it back to the client-side using AJAX

// Check for any incoming AJAX request
if(isset($_POST['getData'])) {
    // Perform necessary data processing or fetch data from a database
    $updatedData = "Updated data from the server";

    // Send the updated data back to the client-side
    echo $updatedData;
    exit;
}
```

This PHP code snippet checks for an incoming AJAX request with a specific parameter (`getData` in this case). Upon receiving the request, it processes the data or fetches updated information and sends it back to the client-side for dynamic updating of the DHTML page.