Chapter 2 Derivatives

Video 1: (Watch and Learn) Definition of Derivative One(10:10)

Speed up a Youtube Video

Video 2: Definition of Derivative Examples(12:06)

Homework # 1 Worksheet

Video 3: Watch and Learn: Introduction to Alternative Definition of Derivative (11:11)

There is an App for Iphone and Android called SpeedTube that speeds up a video on a Smart Phone, don't buy the game.

Watch and Learn if you Don't know the Trig Hand Trick...it is helpful...for real

Alternate Definition of Derivative: Additional Notes to be completed in class

Homework # 2 Worksheet

Alternate Definition of Derivative: Additional Notes to be completed in class

Homework # 3 Worksheet

Video 4: Differentiability Part 1 (6:31)

Video 5: Differentiability Part 2(9:20)

Video 6: Differentiability Part 3(6:27)

Homework # 4 Page 103−104; # 71-79, 91, 92

Video 7: Numerical Derivative: Symmetric Difference Quotient (8:26)

Video 8: Numerical Derivative Examples One(10:08)

Video 9: Numerical Derivative Examples Two(5:34)

Additional Notes to be completed in class

Homework # 5 Worksheet

Video 10: Watch and Learn: Proof of the Power Rule(using "delta x" is the same as using "h")(7:03)

Video 11: Power Rule Examples One(3:25)

Video 12: Power Rule Examples Two(2:43)

Video 13: Power Rule Examples Three(4:09)

Video 14: Power Rule Examples Four(4:27)

Homework # 6 Page 113-116; # 13, 31, 41, 47, 49, 111

Video 15: Watch and Learn: Proof of Product Rule (6:07)

Video 16: Product Rule Examples(4:35)

Video 17: Watch and Learn: Proof of the Quotient Rule (5:05)

Video 18: Quotient Rule Example(2:19)

Homework # 7 Page 124-126; # 1, 7, 109−112 Page 115; # 81-86,

Homework # 8 Worksheet Chapter 2 Quiz # 1 Review

NO CALCULATOR Quiz # 1

Video 19: Derivative of Functions u and v (5:24)

Homework # 9 Worksheet

Video 20: Tangent Lines One(8:19)

Video 21: Tangent Lines Two(5:19)

Video 22: Tangent Lines Three(6:53)

Video 23: Tangent Lines Four(5:26)

Homework # 10 Page 102; # 33, 37 and Page 114 −116; # 59, 60, 63, 74, 109

Position, Velocity and Acceleration Notes to be completed in class

Homework # 11 Page 115; # 67, 89, 91, 93, 95, 97

Homework # 12 Worksheet Chapter 2 Quiz Review # 2

Quiz # 2 Calculator

Video 24: Watch and Learn: Proof of the Derivative of sin x (11:44)

Video 25: Watch and Learn: Proof of the Derivative of cos x(5:25)

Video 26: Watch and Learn: Derivative of tan x, cot x, sec x, csc x(8:22)

Video 27: Trigonometric Derivatives Examples(9:39)

Homework # 13 Page 124; # 41, 47*, 53, 59

*Must match the answer in the Back Of Book

Video 28: Trigonometric Tangents(5:29)

The last tangent line should be y = 5pi/12 - rad(3) / 2 NOT y = 5pi/6 - rad(3) / 2

Homework # 14 Worksheet

Video 29: Watch and Learn: Proof of the Chain Rule(9:00)

Video 30: Basic Chain Rule Example(6:22)

Video 31: Chain Rule Example One(4:38)

Video 32: Chain Rule Example Two(11:35)

Homework # 15 Worksheet

Video 33: Chain Rule Example Three(4:10)

Video 34: Chain Rule Example Three Supplement(3:53)

Homework # 16 Worksheet

Video 35: Chain Rule Example Four(3:32)

Homework # 17 Worksheet

Video 36: Chain Rule Example Five (9:43)

Homework # 18 Worksheet

Video 37: Chain Rule Example Six Supplement (3:46)

Video 38: Chain Rule Example Six (8:13)

Homework # 19 Worksheet

Video 39: Chain Rule with a Table of Values (8:04)

Intuitive Notion Behind the Chain Rule

Homework # 20 Worksheet

Homework # 21 Quiz Review # 3 Worksheet

Quiz # 3

Video 40: Implicit Differentiation Introduction (2:46)

Video 41: Implicit Differentiation Example One (6:16)

Video 42: Implicit Differentiation Example Two (12:46)

Homework # 22 Page 142; # 5, 7, 9

Homework # 23 Page 142; # 11, 13, 15

Homework # 24 Worksheet

Video 43: 2nd Derivative Differentiation Example One (5:57)

Video 44: 2nd Derivative Differentiation Example Two(6:49)

Homework # 25 Page 142; # 37

Video 45: WATCH AND LEARN ONLY: Introduction to Related Rates (4:15)

Video 46: Related Rates with a Circle and Sphere (10:46)

Homework # 26 Page 149; # 15a, 19a

Video 47: Related Rates with a Ladder (6:01)

Video 48: Related with Area of a Triangle(6:41)

Video 49: Related Rates with Baseball (6:37)

Video 50: Related Rates with a Boat (5:58)

Homework # 27 Page 150-151; # 27(a[7 feet only], b), 30*, 33

*Hint: Disregard the last sentence in 30b. It just confuses the problem.

Notes in class

Homework # 28 Page 150 −152; 31, 32, 43, 44

Video 51: Related Rates with Triangular Trough (9:59)

Video 52: Related Rates with Trapezoidal Trough(6:35)

Video 53: Related Rates with a Shadow (7:54)

Homework # 29 Worksheet

Video 54: Related Rates with a Cylinder (4:24)

Video 55: Related Rates with a Cone (3:35)

Video 56: Watch and Learn: How the derivative connects to the tangent lines (3:58)

Homework # 30 Worksheet

Homework # 31 Worksheet Quiz Review # 4

Quiz # 4 Calculator

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