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MCV4U VIP - Chapter 4 (Curve Sketching)
Increasing vs Decreasing Functions
Increasing and Decreasing Functions (video) (4:56)
Sketch Graph Example (video) (4:30)
Graph f(x) given graph of f'(x) (video) (9:39)
Find an Extreme Point and Intervals of Increase/Decrease (video) (4:39)
Find Constants given Intervals of Increase/Decrease (video) (15:01)
Given Information on f and g, what happens to fg? (video) (6:08)
First Derivative Test
First Derivative Test Overview (video) (9:24)
First Derivative Test Example 1 (video) (8:00)
First Derivative Test Example 2 (video) (11:51)
Find Constants and Classify Critical Points (video) (24:19)
Super Tough Thinking Problem (video) (14:50)
Asymptotes
Vertical Asymptote (video) (5:32)
Horizontal Asymptote (video) (10:11)
Sketch f'(x) given Graphs of f(x) (video) (8:05)
Find Constants given Information on Asymptotes (video) (3:07)
Sketch a Complex Function (video) (16:31)
Oblique Asymptotes Overview (video) (10:23)
Oblique Asymptote Example (video) (10:51)
Graphing with Horizontal Asymptote Crossing Example 1 (video) (9:41)
Graphing with Horizontal Asymptote Crossing Example 2 (video) (6:33)
Graphing with Horizontal Asymptote Crossing Example 3 (video) (12:36)
Graphing with Slant Asymptote Crossing Example 1 (video) (13:08)
Tougher Thinking Problem - Critical Points vs Oblique Asymptote Part 1 (video) (11:08)
Tougher Thinking Problem - Critical Points vs Oblique Asymptote Part 2 (video) (12:40)
Second Derivative Test
Second Derivative and Concavity (video) (12:16)
Second Derivative Test (video) (7:39)
Draw f(x) given Graphs of f''(x) (video) (5:53)
Draw Graph given Characteristics (video) (6:38)
Graph Complex Function including 2nd Derivative Test Part 1 (video) (13:34)
Graph Complex Function including 2nd Derivative Test Part 2 (video) (6:33)
Tougher Thinking Question with Second Derivative (video) (19:09)
Sketching Functions
Example 1 (video) (12:24)
Example 2 (video) (24:02)
Test 1
Test 1 Questions (pdf)
Knolwedge 1 Solution (video) (5:41)
Knowledge 2 Solution (video) (8:43)
Knowledge 3 Solution (video) (16:24)
Application 1 Solution (video) (23:26)
Application 2 Solution (video) (17:53)
Thinking 1 Solution (video) (37:19)
Thinking 2 Solution (video) (13:02)
Thinking 3 Solution (video) (10:13)
Communication 1 Solutions (video) (11:19)
Communication 2 Solution (video) (17:19)
Communication 3 Solution (video) (13:53)
Test 2
Test 2 Questions (pdf)
Test 2 Solutions (pdf)
Knowledge Section Question 1 (video) (6:19)
Knowledge Section Question 2 (video) (1:08)
Knowledge Section Question 3 (video) (8:05)
Knowledge Section Question 4 (video) (5:17)
Application Section Question 1 (video) (11:36)
Application Section Question 2 - Part 1 (video) (13:15)
Application Section Question 2 - Part 2 (video) (11:17)
Communication Section Question 1 (video) (3:37)
Communication Section Question 2 (video) (3:56)
Communication Section Question 4 (video) (3:19)
Thinking Section Question 1 (video) (9:40)
Thinking Section Question 2 (video) (2:59)
Thinking Section Question 3 (video) (7:49)
Test 3
Test 3 Questions (pdf)
Test 3 Solutions (pdf)
Knowledge Section Question 1 (video) (6:16)
Knowledge Section Question 2 (video) (7:02)
Knowledge Section Question 3 (video) (11:42)
Application Section Question 1 (video) (11:11)
Application Section Question 2 (video) (7:13)
Communication Section Question 1 (video) (6:30)
Communication Section Question 2 (video) (3:18)
Thinking Section Question 1 (video) (5:08)
Thinking Section Question 2 (video) (18:28)
Thinking Section Question 3 (video) (16:48)
Test 4
Test 4 Questions (pdf)
Test 4 Solutions (pdf)
Test 5
Test 5 Questions (pdf)
Test 5 Solutions (pdf)
Test 6
Test 6 Questions (pdf)
Test 6 Solutions (pdf)
Super Tough Thinking Problem (video)
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