Differential Calculus

Differential Calculus

Eddie Woo via YouTube Direct link

Differentiating the Logarithmic Function (5 of 5: Equation of a tangent)

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Differentiating the Logarithmic Function (5 of 5: Equation of a tangent)

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Classroom Contents

Differential Calculus

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  1. 1 Find a tangent's equation
  2. 2 Derivatives of 6 Trigonometric Functions
  3. 3 Determining Derivatives for cos(x) & tan(x)
  4. 4 Differentiability (includes counter-examples)
  5. 5 Differentiating sin(x) from First Principles
  6. 6 Interesting Discontinuity Example
  7. 7 Intuitive Approach to Gradient Function of sin(x)
  8. 8 Differentiating Trigonometric Functions - examples
  9. 9 Differentiating Exponential Functions (Computer Aided)
  10. 10 Differentiating Exponential Functions (First Principles)
  11. 11 Differentiating Exponential Functions: e
  12. 12 Differentiating Logarithmic Functions
  13. 13 Differentiating Logarithmic Functions (Examples)
  14. 14 Differentiating x to the power of x
  15. 15 Differentiating a^(cos x)
  16. 16 Differentiating Logarithmic Functions Without Base e
  17. 17 3 Approaches for Co-ordinate Geometry Question
  18. 18 Understanding Exponential Functions and their Gradients: First Principles Approach
  19. 19 Understanding Exponential Functions and their Gradients: Intuitive Approach
  20. 20 The Derivative of ln x
  21. 21 Differentiating Log Functions w/ Chain Rule
  22. 22 Summarising Derivatives of all Trigonometric Functions
  23. 23 Differentiating 2^(5x)
  24. 24 Differentiating Exponential Functions (1 of 3: A Visual Argument for the Derivative)
  25. 25 Differentiating Exponential Functions (2 of 3: Dealing with Any Base)
  26. 26 Differentiating Exponential Functions (3 of 3: Chain Rule)
  27. 27 Differentiating x^x (1 of 3: Reviewing Derivatives of Exponentials & Logarithms)
  28. 28 Establishing the Derivative of ln(x)
  29. 29 Differentiating x^x (2 of 3: By Changing the Base)
  30. 30 Harder Examples & Further Applications (Using 'u' to simplify differentiating exp/log functions)
  31. 31 Calculus of Exponential Products (1 of 3: Finding the Intercepts and Turning Points)
  32. 32 Calculus of Exponential Products (2 of 3: Comparing the Behaviour at the extremities to find POIs)
  33. 33 Calculus of Exponential Products (3 of 3: Using the insight from previous parts to sketch function)
  34. 34 Derivative of natural logarithmic functions (Discovering the connections between each)
  35. 35 Calculus of Trigonometric Functions (1 of 2: Using First Principles to find d/dx of sinx)
  36. 36 Calculus of Trigonometric Functions (2 of 2: Using derivative of sinx and cos x to find d/dx(tanx))
  37. 37 Application of Differentiating Trig Functions (2 of 2: Tangents and normals of a trig function)
  38. 38 Applications of Differentiating Trig Functions (1 of 2: How is differentiating used in maths?)
  39. 39 Maths Test Review (1 of 2: Differentiating a product with a log function)
  40. 40 Chain Rule (1 of 3: Introducing a substitution)
  41. 41 Chain Rule (2 of 3: Combining derivatives)
  42. 42 Chain Rule (3 of 3: Proving a circle property)
  43. 43 Finding a Normal to a Rational Function
  44. 44 What is continuity?
  45. 45 Differentiating Exponentials with Non-e Bases
  46. 46 Calculus of Logarithmic Functions (1 of 4: Introduction)
  47. 47 Calculus of Logarithmic Functions (2 of 4: Establishing the derivative of ln x)
  48. 48 Calculus of Logarithmic Functions (3 of 4: Dealing with non-e bases)
  49. 49 Calculus of Logarithmic Functions (4 of 4: The importance of simplifying first)
  50. 50 Calculus of Trigonometric Functions (1 of 3: Using visual intuition)
  51. 51 Calculus of Trigonometric Functions (2 of 3: An alternative version of first principles)
  52. 52 Calculus of Trigonometric Functions (3 of 3: Proving the basic derivative)
  53. 53 Differentiating Trigonometric Functions (1 of 2: Key results & chain rule)
  54. 54 Differentiating Trigonometric Functions (2 of 2: Example using quotient rule)
  55. 55 Using Derivatives of Trigonometric Functions (1 of 2: Finding a tangent)
  56. 56 Introducing Calculus of Exponential Functions (1 of 6: Considering other functions)
  57. 57 Introducing Calculus of Exponential Functions (2 of 6: Characteristics of the gradient)
  58. 58 Introducing Calculus of Exponential Functions (3 of 6: Using the uniqueness of e)
  59. 59 Introducing Calculus of Exponential Functions (4 of 6: Simple chain rule examples)
  60. 60 Introducing Calculus of Exponential Functions (5 of 6: Common mistakes with notation)
  61. 61 Introducing Calculus of Exponential Functions (6 of 6: Finding equation of a tangent)
  62. 62 Intro to Trigonometric Calculus (1 of 5: Review questions)
  63. 63 Intro to Trigonometric Calculus (2 of 5: Investigating the gradient of sin x)
  64. 64 Intro to Trigonometric Calculus (3 of 5: Investigating gradient magnitude)
  65. 65 Intro to Trigonometric Calculus (4 of 5: Derivative of cos x)
  66. 66 Intro to Trigonometric Calculus (5 of 5: Derivative of tan x)
  67. 67 Differentiating Simple Trigonometric Functions (examples)
  68. 68 Review of Logarithm Laws
  69. 69 Differentiating the Logarithmic Function (1 of 5: Using visual intuition)
  70. 70 Differentiating the Logarithmic Function (2 of 5: Incorporating chain rule)
  71. 71 Differentiating the Logarithmic Function (3 of 5: Proof by implicit differentiation)
  72. 72 Differentiating the Logarithmic Function (4 of 5: Restricting domain)
  73. 73 Differentiating the Logarithmic Function (5 of 5: Equation of a tangent)
  74. 74 Differentiating Exponentials with Other Bases (1 of 3: Review questions)
  75. 75 Differentiating Exponentials with Other Bases (2 of 3: Deriving a key result)
  76. 76 Differentiating Exponentials with Other Bases (3 of 3: Establishing the formula)
  77. 77 Differentiating Logarithms with Other Bases
  78. 78 A Turning Point Mystery (1 of 2: Introducing the problem)
  79. 79 A Turning Point Mystery (2 of 2: An unusual derivative)
  80. 80 Differential Calculus Exam Review (3 of 3: Product rule, trigonometric functions)
  81. 81 Differential Calculus Exam Review (2 of 3: Logarithms & exponentials)
  82. 82 Differential Calculus Exam Review (1 of 3: Chain rule)
  83. 83 Differentiating Exponential Functions (1 of 2: Reviewing simple derivatives)
  84. 84 Differentiating Exponential Functions (2 of 2: Step by step Chain Rule)
  85. 85 Differentiating Exponential Functions continued (2 of 2: Further examples)
  86. 86 Exponential Functions with Other Bases (1 of 2: Reframing problems)
  87. 87 Exponential Functions with Other Bases (2 of 2: Deriving the formula)
  88. 88 Differentiating Logarithmic Functions (1 of 4: Developing intuitions)
  89. 89 Differentiating Logarithmic Functions (2 of 4: Proving the formula)
  90. 90 Diffferentiating Logarithmic Functions (3 of 4: Basic examples)
  91. 91 Differentiating Logarithmic Functions (4 of 4: Further examples)
  92. 92 Applications of Differentiating Log Functions (1 of 2: Calculating a tangent)
  93. 93 Applications of Differentiating Log Functions (2 of 2: Calculating a normal)
  94. 94 Differentiating Trigonometric Functions (1 of 5: Review questions)
  95. 95 Differentiating Trigonometric Functions (2 of 5: Taking gradient measurements)
  96. 96 Differentiating Trigonometric Functions (3 of 5: Understanding cos x & tan x)
  97. 97 Differentiating Trigonometric Functions (4 of 5: Chain rule examples)
  98. 98 Differentiating Trigonometric Functions (5 of 5: Exploring the derivative of tan x)
  99. 99 Application of Trigonometric Derivatives (1 of 2: Finding the tangent)
  100. 100 Application of Trigonometric Derivatives (2 of 2: Evaluating an area)
  101. 101 Summary of Exponential, Logarithmic & Trigonometric Derivatives
  102. 102 Question 30 (this year's HSC Mathematics Advanced exam)

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