jQuery – make .change() work on dynamic input’s

If I have a button that creates input’s like so:

jQuery('button').click(function(){
        jQuery('div').html("<input />")
    })

    jQuery('input').change(function(){
        alert('change!')
    })

Why doesn’t jQuery recognize the newly made inputs with $('input').change() ? how do I get around this? Do I have to push the new inputs into jQuery’s recognition or something?

Here’s a jsfiddle w/ the problem: http://jsfiddle.net/Ltkfj3g9/