You could conditionally show the controls by determining the current slide like this..
$('#myCarousel').on('slid.bs.carousel', function (ev) {
var carouselData = $(this).data('bs.carousel');
var currentIndex = carouselData.getActiveIndex();
if (currentIndex >= 1) {
$('.left').show();
}
else {
$('.left').hide();
}
if (currentIndex === (carouselData.$items.length-1)) {
$('.right').hide();
$('.left').show();
}
else {
$('.right').show();
}
})