NEW YORK (AP) — The first time the filmmaker Rebecca Miller met Martin Scorsese was on the set of 2002’s “Gangs of New York.” Miller’s husband, Daniel Day-Lewis, was starring in it. There, Miller found an anxious Scorsese on the precipice of the film’s enormous fight scene, shot on a sprawling set.

“He seemed like a young man, hoping that he had chosen the right way to shoot a massive scene,” Miller recalls. “I was stunned by how youthful and alive he was.”

That remains much the same throughout Miller’s expansive and stirring documentary portrait of the endlessly energetic and singularly essential filmmaker. In “Mr. Scorsese,” which premieres Friday on Apple TV, Miller captures the life and career of Scorsese, whose films have made one of the greatest sustained arguments for the power of

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