Kutcher's Jobs is seen as the rock star of the tech world, admired but misunderstood in his early days as he constantly tried to think outside of the box and bring a notion of "cool" to his brand.
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The audience on Friday warmly applauded the film following the screening.
In a question-and-answer session after the screening, Kutcher took to the stage to talk about his preparations of mastering Jobs' posture, hand gestures and eccentricities, saying his "painstaking research" included watching more than 100 hours of footage of the Apple innovator.
Notably missing from the film are details about Jobs' personal life - his court settlement with the mother of his first child features only in the backdrop of the 1980s, a time when he struggled to gain support from the Apple board for his visions.
Stern told the audience that he deliberately stayed away from the CEO's personal life, saying the film was "not about getting mired in some of the soap opera" of Jobs' life.
Kutcher, 34, told Reuters on the red carpet before the screening that he was honored to play Jobs but also terrified because of the former Apple chairman's iconic status.
"To be playing a guy who so freshly is in people's minds, where everywhere you go you can run into people who met him or knew him or had seen a video of him ... that's terrifying because everyone is an appropriate critic," Kutcher told Reuters.