Robert Lewandowski carved his name in history with a double for Bayern Munich, while Schalke drew level with Dortmund.
Dortmund lost ground on Bayern Munich at the top of the Bundesliga on as they dropped points for the first time this season.
Borussia Dortmund returned to the top of the Bundesliga with a 3-0 victory over Bayer Leverkusen on Sunday.
Thomas Muller struck twice as Bayern Munich beat Bayer Leverkusen 3-0 in the Bundesliga on Saturday, as Eintracht Frankfurt thrashed Stuttgart 4-1.
Manchester City ended an indifferent pre-season campaign with a heavy 4-2 defeat away to Stuttgart on Saturday.
Stuttgart have announced two new signings as they look to avoid a second consecutive relegation battle.
Stuttgart came from behind to beat Paderborn 2-1 and secure their place in the Bundesliga next season.
Liverpool give U21s more game time than Premier League rivals but top flight lags behind Europe.
Stuttgart climbed off the foot of the Bundesliga and leap-frogged Hamburg in the standings with a 2-1 win.
Stuttgart picked up a crucial 2-0 win over Mainz on Saturday evening to keep their survival hopes alive.
Florian Klein's late goal kept Schalke on course for the Europa League with a 3-2 win over Stuttgart.
Freiburg fought back from two goals down to snatch a point in a 2-2 draw at 10-man Stuttgart.
Augsburg moved five points clear of Hoffenheim thanks to a 2-1 win over Stuttgart.
Stuttgart boosted their survival hopes with a 3-2 home win over Werder Bremen, while Cologne saw off Hoffenheim by the same scoreline.
Stuttgart moved off the bottom of the Bundesliga thanks to a dramatic 3-2 win over Werder Bremen.
Wolfsburg all but mathematically secured a Champions League spot with their 3-1 win over Stuttgart.
Robert Lewandowski was the difference in the German Klassiker, while there were wins for Monchengladbach and Leverkusen
Stuttgart beat Eintracht Frankfurt 3-1 on Saturday to claim their first win of 2015.
Bayer Leverkusen beat Stuttgart 4-0 on Friday night to go third in the Bundesliga table.
Stuttgart missed an opportunity to close the gap on second-bottom Freiburg after a 0-0 draw with Hertha Berlin.