Goals from Carlos Tevez and Leonardo Bonucci sandwiched Luca Antonelli's effort on his second Milan debut before Alvaro Morata settled the contest for Juve.
Giampaolo Pazzini was denied by a fine Gianluigi Buffno save with the scores at 2-1, and Inzaghi saw plenty of positives in Milan's game.
He said: "Despite many relevant absentees, I think that the team showed a great attitude today.
"It's pretty clear that playing against a full-strength Juventus side is not easy for anyone, otherwise they wouldn't have won all those games so far.
"But I think that we were always in the game and in fact we also had the chance to make it 2-2 with Pazzini and we could have reopened the game.
"So, despite the defeat I think that this can be a new starting point."
"Obviously we should make fewer mistakes because we conceded goals like sitting ducks.
"But I think that both the second half against Parma and today's game can be new starting points for us while we recover the 14 injured players we've got."
