jQuery this closest show hide

Question

I've got a table with multiple rows. In each row is a Show Details Button and a Hide Details button. On clicking show details I want the hide details button to only show for the specific row. I thought the .closest() function would work but it hasn't yet.

Here is the HTML

<table>
    <tr id="1">
      <td><button class='view'>View Details</button><button class='hide' style='display:none;'>Hide Details</button></td>
    </tr>

    <tr id="2">
      <td><button class='view'>View Details</button><button class='hide' style='display:none;'>Hide Details</button></td>
    </tr>
</table>

Here is the jQuery

$(".view").click(function() {   
    $("#patient").show("");
    $(this).hide();
    $(this).closest(".hide").show();
});