Bayern overpowered the league challengers who entered Sunday’s game level on points, with Borussia Dortmund moving three points clear with Saturday’s 1-0 win at Hoffenheim.
But Bayern’s win saw them regain top spot, after goals from Eric Maxim Choupo-Moting, Kingsley Coman and Jamal Musiala all before half-time.
“It was a really important victory and a benchmark. We were dominant in all areas,” Nagelsmann said.
“We had 10-12 big chances and gave little away. We trained well and talked a lot.
“We wanted to show what we expect of ourselves.”
There was talk of a player meeting in midweek, which Nagelsmann confirmed.
“There was a team evening, which is nothing earth-shattering, but where the team talked about what they wanted,” he said. “I think it bore fruit today.
“The medicine at Bayern is easy to administer: you just have to win, then it’s always calm.
“If you don’t win, there’s never calm.”