Try this:
add this into your javascript code:
function showSubmit()
{
$('input[name=submit]').show();
}
and change your html to this
<form id="uploadFrm" action="<?php echo $_SERVER['PHP_SELF'];?>" method="post" enctype="multipart/form-data">
<p>
<input type="file" name="image" id="image" size="50" onchange="showSubmit()"/>
<input style="display:none" type="submit" name="submit" value="Upload" id="submit"/>
</p>
</form>