Exclude custom taxonomy tag from loop

I have rewritten the query_posts. As for get_posts you are better off using the WP_Query due to more control over the tax_query. Explained here.

<?php
$args = array(
    'cat' => 84,
    'posts_per_page' => 3,
    'offset' => 0,
    'tax_query' => array(
        'relation' => 'NOT IN',
        array(
            'taxonomy' => 'display',
            'field' => 'slug',
            'terms' => 'featured-slider'
        )
    )
);
$wpse42083_query = new WP_Query( $args );
while( $wpse42083_query->have_posts() ) : $wpse42083_query->the_post();
    // write post stuff in here
endwhile;

// Reset Post Data
wp_reset_postdata();
?>

Edit: I added the usage.