The AP Calculus AB/BC 5-hour live stream review is here! ♾️

Join us on May 3, 2021 for the 🌢️ AP Calculus AB/BC Cram Finales for a last minute review to get all your questions answered!

πŸ“š

All Subjects

Β >Β 

♾️ 

AP Calc

Β >Β 

πŸ€“

Unit 2

2.2 Defining the Derivative of a Function and Using Derivative Notation

1 min readβ€’june 7, 2020

Sumi Vora


Derivatives Defined

πŸŽ₯Watch: AP Calculus AB/BC - The Limit Definition of a Derivative
Recall that a derivative represents the instantaneous rate of change at a single point on function, and is also represented by the slope of the tangent line at that point.Β πŸ“ˆ
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(446).png?alt=media&token=1a2a840c-f3a6-4944-a0ce-6c66e23c698c
The derivative of 3x^2 is always going to be 6x, but in a concrete form, we can establish the rate of change of a single point on the function by simply plugging in that x-value.Β πŸ€“

Resources:

Was this guide helpful?

πŸ’ͺ🏽 Are you ready for the Calc AB exam?
Take this quiz for a progress check on what you’ve learned this year and get a personalized study plan to grab that 5!
START QUIZ
πŸ’ͺ🏽 Are you ready for the Calc BC exam?
Take this quiz for a progress check on what you’ve learned this year and get a personalized study plan to grab that 5!
START QUIZ
FREE AP calc Survival Pack + Cram Chart PDF
Sign up now for instant access to 2 amazing downloads to help you get a 5
Browse Study Guides By Unit
πŸ“†
Big Reviews: Finals & Exam Prep
✍️
Free Response Questions (FRQ)
🧐
Multiple Choice Questions (MCQ)
β™Ύ
Unit 10: Infinite Sequences and Series (BC Only)
πŸ‘‘
Unit 1: Limits & Continuity
πŸ€™πŸ½
Unit 3: Differentiation: Composite, Implicit & Inverse Functions
πŸ‘€
Unit 4: Contextual Applications of the Differentiation
✨
Unit 5: Analytical Applications of Differentiation
πŸ”₯
Unit 6: Integration and Accumulation of Change
πŸ’Ž
Unit 7: Differential Equations
🐢
Unit 8: Applications of Integration
πŸ¦–
Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)
Join us on Discord
Thousands of students are studying with us for the AP Calculus AB/BC exam.
join now