27 videos in "Derivatives / Rules of Derivatives"
-

Introduction to Derivatives
-

The Derivative
-

Calculation of Derivatives
-

Derivatives of Trigonometric Functions
-

Leibniz Notation and the Chain Rule
-

Rectilinear Motion
-

Higher-Order Derivatives
-

Critical Numbers and the First Derivative Test
-

Concavity and the Second Derivative Test
-

The Power Rule
-

Derivatives Part 1
-

Derivatives Part 2
-

Derivatives Part 3
-
![[C.2] Numerical Derivative preview image](http://pi.mathvids.com/thumbs/1286-1.jpg)
[C.2] Numerical Derivative
-
![[C.3] Elasticity preview image](http://pi.mathvids.com/thumbs/1287-1.jpg)
[C.3] Elasticity
-

Derivative of a Sum-Product-Quotient-Composition
-

Sign of Derivative and Increasing or Decreasing
-

Increasing or Decreasing Derviative from Function
-

Cartesian Graphs and the Second Derivative
-

Excel Project 1 - Acceleration of Sales
-

Notations and Power Rule
-

Chain Rule
-

Derivative of Exponential
-

Max and Min
-

Elasticity Part 1
-

Elasticity Part 2
-

Elasticity Part 3 - Calculator
Leibniz Notation and the Chain Rule
- The Chain Rule - Practice problems using the Chain Rule.
- Differentiation Identities - Limit definitions of the derivative, Fundamental Theorem for Derivatives, and rules of derivatives
- What is Leibniz notation?
- What is the chain rule?
- How do you use the chain rule to take a derivative?
- What does d/dx mean?
- How do you find the derivative of the composition of three functions?
- What are some examples of finding derivatives using the chain rule?
This video does a great job of explaining the basics of d/dx notation for a derivative and also how to find the derivative of a composition of functions using the chain rule. It uses a sort of “u substitution” with “inside” and “outside” functions to explain the chain rule. Several different and varied examples are used to explain the chain rule. How to find the derivative of the composition of three functions is also explained.


