Videos for Pakistan Board ecat Math Chapter 16: Differentiation - Sabaq Foundation

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Chapter 16: Differentiation (85 videos)  (Practice Test)
16.1: Introduction  (Practice Test)
  1. Introducing Dependent and Independent Variables
  2. Average Rate of Change
  3. Derivative of a Function
  4. More on Derivative of a Function
  5. Notation for Derivative
  6. Geometrical Interpretation of a Derivative
  7. More on Geometrical Interpretation of Derivative
16.2: Finding f'(x) from Definition of Derivative  (Practice Test)
  1. Derivative by First Principle
  2. More on Derivative by First Principle
  3. Problem1-Derivative by First Principle
  4. Problem2-Derivative by First Principle
16.3: Theorems on Definition  (Practice Test)
  1. Derivative of a Constant Function
  2. Power Rule for Differentiation
  3. More on Power Rule for Differentiation
  4. Problem-Power Rule for Differentiation
  5. Problem1-Power Rule for Differentiation
  6. Derivative of a sum or Difference of Functions
  7. Problem1-Derivative of a sum or Difference of Functions
  8. Derivative of Product
  9. Problem1-Derivative of Product
  10. Derivative of a Quotient
  11. More on Derivative of a Quotient
  12. Problem1a-Derivative of Quotient
16.4: The Chain Rule  (Practice Test)
  1. Differentiation by Chain Rule
  2. More on Differentiation by Chain Rule
  3. Problem1-Differentiation by Chain Rule
  4. Problem2-Differentiation by Chain Rule
16.5: Derivative of Inverse Functions
  1. Derivative of Inverse Functions
16.6: Derivative of Functions Given in the Form of Parametric Equations
  1. Derivative of Parametric Equations
  2. Problem1-Derivative of Parametric Equations
16.7: Differentiation of Implicit Relations
  1. Implicit Differentiations
  2. Problem-Implicit Differentiations
  3. Problem-Implicit Differentiations
16.8: Derivatives of Trigonometric Functions  (Practice Test)
  1. Derivative of Trigonometric Functions
  2. More on Derivative of Trigonometric Functions
  3. More Stuff on Derivative of Trigonometric Functions
  4. Problem1-Derivative of Trigonometric Functions
  5. Problem2-Derivative of Trigonometric Functions
  6. Problem3-Derivative of Trigonometric Functions
16.9: Derivatives of Inverse Trigonometric Functions  (Practice Test)
  1. Derivative of Inverse Trigonometric Functions
  2. More on Derivative of Inverse Trigonometric Functions
  3. Problem1-Derivative of Inverse Trigonometric Functions
  4. Problem2-Derivative of Inverse Trigonometric Functions
  5. Problem3-Derivative of Inverse Trigonometric Functions
16.10: Derivative of Exponential Functions
  1. Derivative of Exponential Functions
  2. Problem1-Derivative of Exponential Functions
16.11: Derivative of Logarithmic Functions
  1. Derivative of Logarithmic Functions
  2. Problem1-Derivative of Logarithmic Functions
16.12: Logarithmic Differentiation
  1. Problem Solving-Logarithmic Functions
16.13: Derivative of Hyperbolic Functions  (Practice Test)
  1. Derivative of Hyperbolic Functions
  2. More on Derivative of Hyperbolic Functions
  3. Problem1-Derivative of Hyperbolic Functions
16.14: Derivatives of the Inverse Hyperbolic Functions  (Practice Test)
  1. Derivatives of the Inverse Hyperbolic Functions
  2. More on Derivatives of the Inverse Hyperbolic Functions
  3. Problem1-Derivatives of the Inverse Hyperbolic Functions
16.15: Successive Differentiation Or Higher Derivatives  (Practice Test)
  1. Introducing Higher Order Differentiation
  2. Problem1-Introducing Higher Order Differentiation
  3. Problem2-Introducing Higher Order Differentiation
  4. Problem3-Introducing Higher Order Differentiation
  5. Problem4-Introducing Higher Order Differentiation
16.16: Series Expansion of Functions  (Practice Test)
  1. Introducing Maclaurin's Theorem
  2. More on Maclaurin's Theorem
  3. Problem1-Introducing Maclaurin's Theorem
  4. Problem2-Introducing Maclaurin's Theorem
16.17: Tailor Series Expansion of Functions
  1. Tailor's Theorem
  2. More on Tailor's Theorem
  3. Problem1a-Tailor's Theorem
  4. Problem2-Tailor's Theorem
16.18: Geometrical Interpretation of a Derivative
  1. Geometrical Interpretation of a Derivative
16.19: Increasing and Decreasing Functions  (Practice Test)
  1. Increasing and Decreasing Functions
  2. More on Increasing and Decreasing Functions
  3. Problem1-Increasing and Decreasing Functions
16.20: Relative Extrema
  1. Introducing Relative Extrema
  2. Problem1-Introducing Relative Extrema
16.21: Critical Values of Critical Points  (Practice Test)
  1. Relative Maxima and Minima
  2. Problem2-Relative Maxima and Minima
  3. Critical Values and Critical Points
  4. Point of Inflexion
  5. Second Derivative Test and Concavity
  6. More on Second Derivative Test and Concavity
  7. Problem Solving-Second Derivative Test and Concavity
  8. Differential-Maxima and Minima Problems
  9. Problem1a-Second Derivative and Its Applications
  10. Problem2a-Second Derivative and Its Applications
  11. Problem3a-Second Derivative and Its Applications
 

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