Schachmann survives late attack from second-place Benoot to take overall, Quintana takes stage atop La Colmiane climb.
German national champion takes opening stage from four-up sprint after gritty day of classics-style racing.
James Startt was on hand in the Rhone River Valley, to capture the action at two French one-day races considered to be warm-ups for Paris-Nice.
Kasper Asgreen attacked solo in the final kilometers to win Kuurne-Brussels-Kuurne in thrilling fashion.
Pogačar managed to regain six seconds on Yates as a result of a time bonus for the stage win.
The 25-year-old is the most experienced racer in a young and talented women's team, taking silver in her first of five events in Berlin.
The Dutch sprint star came around Gaviria and Ackermann during the closing meters, in a chaotic battle to the line.
Yates took the stage by just over a minute ahead of Tadej Pogačar, and now leads Pogačar in the general classification.
The Australian sprint star patiently waited before attacking in the closing meters, on a double-digit grade to the line.
Americans Leah Thomas and Katie Hall finished 1-2 in the final stage at Setmana Ciclista Valenciana as Anna van der Breggen won the overall.