π

All Subjects

Β >Β

βΎοΈΒ

AP Calc

Β >Β

π

Unit 1

# 1.1 Introducing Calculus: Can Change Occur at An Instant?

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, itβ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 πΊ So in short, yes, change can occur at an instant. As you get further along in the course, youβll learn about derivatives. Derivatives depend on limits and a derivative is the rate of change of a function at an instant, what weβll call βinstantaneous rate of change.β π

##### π Are you ready for college apps?
Take this quiz and find out!
Start Quiz
##### FREE AP calc Survival Pack + Cram Chart PDF
Browse Study Guides By Unit
π
Big Reviews: Finals & Exam Prep
βοΈ
Free Response Questions (FRQ)
π§
Multiple Choice Questions (MCQ)
βΎ
Unit 10: Infinite Sequences and Series (BC Only)
π€
Unit 2: Differentiation: Definition & Fundamental Properties
π€π½
Unit 3: Differentiation: Composite, Implicit & Inverse Functions
π
Unit 4: Contextual Applications of the Differentiation
β¨
Unit 5: Analytical Applications of Differentiation
π₯
Unit 6: Integration and Accumulation of Change
π
Unit 7: Differential Equations
πΆ
Unit 8: Applications of Integration
π¦
Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)
Thousands of students are studying with us for the AP Calculus AB/BC exam.
##### Play this on HyperTyper
Practice your typing skills while reading Introducing Calculus: Can Change Occur at An Instant?
Start Game
##### πͺπ½ Are you ready for the Calc AB exam?
Take this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!
START QUIZ
##### πͺπ½ Are you ready for the Calc BC exam?
Take this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!
START QUIZ
Studying with Hours = the ultimate focus mode
Start a free study session