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The essence of calculus

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Further reading 1

Caption notes

Approximate a circle by thin rings and study how area accumulates. Tracking small changes gives a geometric route from integrals to derivatives.

Original passages · 5
the sum, thought of as the aggregate area of those rectangles, approaches the area under the graph.
The essence of calculus · ▶ 8:07–8:18
a measure of how sensitive a function is to small changes
The essence of calculus · ▶ 14:32–14:36
It ties together the two big ideas of integrals and derivatives
The essence of calculus · ▶ 15:34–15:38
come away feeling like you could have invented calculus yourself
The essence of calculus · ▶ 0:52–0:57
each one is an inverse of the other
The essence of calculus · ▶ 15:38–15:42

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