$(".from_date").datepicker({
    format: 'yyyy-mm-dd',
    autoclose: true,
}).on('changeDate', function (selected) {
    var startDate = new Date(selected.date.valueOf());
    $('.to_date').datepicker('setStartDate', startDate);
}).on('clearDate', function (selected) {
    $('.to_date').datepicker('setStartDate', null);
});

$(".to_date").datepicker({
    format: 'yyyy-mm-dd',
    autoclose: true,
}).on('changeDate', function (selected) {
    var endDate = new Date(selected.date.valueOf());
    $('.from_date').datepicker('setEndDate', endDate);
}).on('clearDate', function (selected) {
    $('.from_date').datepicker('setEndDate', null);
});

<input class="from_date" placeholder="Select start date" type="text" name="from_date">
<input class="to_date" placeholder="Select end date" type="text" name="to_date">