Ed Joyce and Luke Well both hit centuries as the Sussex batsmen dominated the second day of the Specsavers County Championship fixture at Hove.
Joyce (106) was the first to three figures, completing his 44th career first-class hundred, before he was one of two victims for Wayne Madsen (2-65).
Wells also reached the landmark before stumps, ending unbeaten on 104, before Tom Taylor (2-87) claimed two late wickets with the second new ball as Sussex closed on 342-4, leading by 192.
Derbyshire, starting the day with the bat, added eight runs to their overnight score before Ben Cotton was last man out for five. Shiv Thakor produced another good knock to go with his hundred last week, but was left stranded on 47 as the visitors were dismissed for 150.
In reply, Ben Cotton (0-57) found some early movement and created a couple of chances, but the Sussex batsmen soon took control under bright skies to pile on the runs.
Chris Nash was the first man to fall for 65, bowled by Madsen, to end a 113-run opening stand. His fellow opener Joyce was in supreme form and completed his second hundred against Derbyshire this season, off 165 balls with 8 fours and 3 sixes. He, however, would be dismissed shortly after by Madsen, for 106.
Number three Luke Wells hit his 11th career century off 180 balls, featuring 11 fours, to end the day on 104 not out, while Taylor was well set on 54 before he was caught behind off Tom Taylor (2-87) just before stumps.
Taylor claimed a second off the last ball of the day, Matt Machan caught by Hamish Rutherford for six, as Sussex closed on 342-4 and Derbyshire will be looking for more wickets early on the third morning.
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