2.1 Derivatives - Definition and Rules

0:00 Introduction
0:18 Describing and explaining the derivative
2:24 Definition of the derivative
3:21 New terms: differentiation, differentiable
3:47 Notation for the derivative
6:44 How to calculate dy/dx from the definition of the derivative, using the limit of the difference quotient
8:19 Example solution: calculating dy/dx from the limit of the difference quotient
10:25 Calculation rules for derivatives
10:48 Rule 1: Derivatives of Constants
12:14 Rule 2: The Power Rule
15:30 Rule 3: The Constant Multiple Rule
16:55 Rule 4: The Sum Rule
18:01 Rule 5: The Difference Rule
18:58 Combining the differentiation rules
20:44 Calculation rules summary

In this video we cover the definition of the derivative, introduce new terms and notations, and we introduce calculation rules

   • Introduction to Calculus  

   • 1.1 Introduction to Calculus - Intro  

   • 1.2 Introduction to Calculus - Rates ...  

   • 1.3 Introduction to Calculus - Limits  

   • 1.4 Introduction to Calculus - Tangen...  

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