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Unit 1

1.1 Introducing Calculus: Can Change Occur at An Instant?

1 min readโ€ขjune 7, 2020

Anusha Tekumulla


Limits

In AP Calculus, limits can be used to represent a constant change in functions. The rate of change of a function is equal to the formulas ฮ”Y/ฮ”X or (Y2- Y1)/(X2-X1). While this formula may look scary, itโ€™s actually just the slope formula. You may remember this as rise over run or the change in y over the change in x.ย ๐Ÿ”บ So in short, yes, change can occur at an instant. As you get further along in the course, youโ€™ll learn about derivatives. Derivatives depend on limits and a derivative is the rate of change of a function at an instant, what weโ€™ll call โ€œinstantaneous rate of change.โ€ ๐Ÿ”„

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