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Unit 1

1.1 Introducing Calculus: Can Change Occur at An Instant?

1 min readβ€’june 7, 2020

anusha

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 Ξ”Y/Ξ”X or (Y2- Y1)/(X2-X1). While this formula may look scary, it’s actually just the slope formula. You may remember this as rise over run or the change in y over the change in x.Β πŸ”Ί So in short, yes, change can occur at an instant. As you get further along in the course, you’ll learn about derivatives. Derivatives depend on limits and a derivative is the rate of change of a function at an instant, what we’ll call β€œinstantaneous rate of change.” πŸ”„

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