How did Newton develop infinitesimal calculus? (NO JOKE, 10 POINTS FOR BEST ANSWER)?

J

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I want to know the story, how it came up to his mind and what events led him to thinking about creating infinitesimal calculus. What led up to him thinking about it. I also want an account on the controversy between Newton and Leibniz

10 POINTS FOR THE BEST ANSWERER.
 
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