Chapter 2: Differentiation (58 videos)  (Practice Test)

2.1: Derivative of a Function  (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
8. Derivative by First Principle
9. More on Derivative by First Principle
10. Problem1-Derivative by First Principle
11. Problem2-Derivative by First Principle

2.2: Theorem of Differentiation  (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

2.3: Applications of Differentiation Theorem

1. Problem-Power Rule for Differentiation
2. Problem1-Power Rule for Differentiation
3. Problem1-Derivative of a sum or Difference of Functions
4. Problem1-Derivative of Product

2.4: 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
5. Derivative of Parametric Equations
6. Problem1-Derivative of Parametric Equations
7. Implicit Differentiations
8. Problem-Implicit Differentiations
9. Problem-Implicit Differentiations

2.5: Differentiation of Trigonometric and Inverse 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
7. Derivative of Inverse Trigonometric Functions
8. More on Derivative of Inverse Trigonometric Functions
9. Problem1-Derivative of Inverse Trigonometric Functions
10. Problem2-Derivative of Inverse Trigonometric Functions
11. Problem3-Derivative of Inverse Trigonometric Functions

2.6: Differentiation of Exponential and Logarithmic Functions  (Practice Test)

1. Derivative of Exponential Functions
2. Problem1-Derivative of Exponential Functions
3. Derivative of Logarithmic Functions
4. Problem1-Derivative of Logarithmic Functions
5. Problem Solving-Logarithmic Functions

2.7: Differentiation of Hyperbolic and Inverse Hyperbolic   (Practice Test)

1. Derivative of Hyperbolic Functions
2. More on Derivative of Hyperbolic Functions
3. Problem1-Derivative of Hyperbolic Functions
4. Derivatives of the Inverse Hyperbolic Functions
5. More on Derivatives of the Inverse Hyperbolic Functions
6. Problem1-Derivatives of the Inverse Hyperbolic Functions