2:55
Maximum & Minimum
Eddie Woo
6:02
Turning Points
3:15
Stationary Points
1:09
Non-Stationary Turning Points (1 of 2)
2:48
Non-Stationary Turning Points (2 of 2)
3:39
Introduction to Points of Inflexion
3:28
The Special Case of x^4
2:42
Horizontal Points of Inflexion
8:50
Overview of Critical Points (1 of 2)
3:25
Overview of Critical Points (2 of 2)
7:54
Overview of Critical Points: Examples (1 of 2)
6:09
Overview of Critical Points: Examples (2 of 2)
3:24
Finding and Confirming Turning Points
6:27
Curve Sketching: Locating Stationary Points
5:18
Curve Sketching: Determining Nature of SPs
7:02
Curve Sketching: Drawing the Graph
4:18
Sign of the First Derivative
3:26
Second Derivative: A Physical Analogy
5:35
Second Derivative: Concavity
3:57
Second Derivative: Notation
6:28
Second Derivative: Relationship w/ First Derivative
4:20
Graphing w/ the First Derivative
5:07
Graphing w/ the Second Derivative
6:01
Choosing First or Second Derivative
8:09
Graph Behaviour Chart
11:37
Implicit Differentiation
6:21
Implicit Differentiation - example question
7:39
Visual Approach to Derivatives (1 of 2)
4:05
Visual Approach to Derivatives (2 of 2)
10:25
Y11 Mathematics Ext 1 Quiz (1 of 2: Curve sketching with calculus)
10:40
Introduction to Solids of Revolution
9:44
Verifying Formulae for Cylinder, Cone & Sphere
10:43
Compound Volumes (1 of 2)
8:27
Compound Volumes (2 of 2)
13:51
Volumes: Examples around x-axis & y-axis
8:32
Subtraction of Volumes
7:57
Subtraction of Volumes: Class Discussion
9:52
Volume within a Cone (1 of 3: Separating variables and constants for differentiation)
9:26
Volume within a Cone (2 of 3: Finding Volume in terms of a single variable to differentiate)
10:59
Volume within a Cone (3 of 3: Finding the Stationary Points to determine the maximum volume)
10:32
Solids of Revolution (1 of 3: What happens when you rotate an area around an axis?)
9:21
Solid of Revolution (2 of 3: Finding Volume of the Solid of Revolution using Volume of a cylinder)
6:07
Solids of Revolution (3 of 3: Finding the Volume of an area rotated around the y axis)
8:36
Conical Volume (1 of 2: Derivation of the Volume of a Cone through Solids of Revolution)
6:56
Spherical Volume (2 of 2: Derivation of the Volume of a Sphere through Solids of Revolution)
12:31
Difference between Volumes (1 of 2: Method to finding the difference between volumes)
5:02
Difference Between Volumes (2 of 2: Investigating the relationship between Parabolas & Cylinders)
Intro to Solids of Revolution (1 of 3: Establishing the formula)
7:34
Intro to Solids of Revolution (2 of 3: Simple worked example)
Intro to Solids of Revolution (3 of 3: Other axes, volume of a sphere)
12:03
Solids of Revolution - Subtracting Volumes
8:31
Non-Standard Integrals: "Differentiate, hence integrate" (1 of 2)
11:19
Non-Standard Integrals: "Differentiate, hence integrate" (2 of 2)
3:45
Areas Under Curves: Logarithmic Functions
7:24
Integration & Logarithmic Functions: Log Integrands (1 of 2)
4:39
Integration & Logarithmic Functions: Log Integrands (2 of 2)
9:36
Integration & Logarithmic Functions: Non-Log Integrands (1 of 3)
7:17
Integration & Logarithmic Functions: Non-Log Integrands (2 of 3)
11:55
Integration & Logarithmic Functions: Non-Log Integrands (3 of 3)
5:46
Areas Under Curves: Logarithmic Functions (Alternative Approach)
12:01
Applications & Implications of d/dx(½v²): Concrete Example
9:13
Motion Exam Question (1 of 2: Finding v(x) from a(x))
7:47
Motion Exam Question (2 of 2: Finding x(t) from v(x))
Differentiating x^x (3 of 3: Implicit Differentiation)
8:04
Implicit Differentiation (Differentiating a function without needing to rearrange for x or y)
7:25
Rates of Change (1 of 4: Finding the Volume of an unknown height of water with a diagram)
8:30
Maximum/Minimum with Quadratics (1 of 2: Axis of symmetry)
5:47
Maximum/Minimum with Quadratics (2 of 2: Completing the square)
10:08
Max/Min Question: Cutting a Wire in Two (1 of 2: Setting up the equations)
4:31
Max/Min Question: Cutting a Wire in Two (2 of 2: Finding the minimum)
12:30
Challenging Max/Min Exam Question
Graphing Logarithmic Function with Calculus (1 of 2: Identifying features)
7:37
Graphing Logarithmic Function with Calculus (2 of 2: Constructing the sketch)
10:44
Differential Equation in terms of Dependent Variable (1 of 2: Partial Fractions)
8:59
Differential Equation in terms of Dependent Variable (2 of 2: Integration)
