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Unit 1

1.1 Introducing Calculus: Can Change Occur at An Instant?

1 min readjune 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 ΔY/ΔX 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. 🔺 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 “instantaneous rate of change.” 🔄

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