4. Higher Order Derivatives and Applications

Chapter 4: 4. Higher Order Derivatives and Applications (39 videos)   (Practice Test)

4.1: 4.1-Higher Order 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

4.2: 4.2-Taylors and Maclaurins Expansions  (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
5. Maclaurin's Series of log_a(1+x) at x=0
6. Tailor's Theorem
7. More on Tailor's Theorem
8. Problem1a-Tailor's Theorem
9. Problem2-Tailor's Theorem
10. Taylor Series Expension of Cosx
11. Taylor Series Expension of tanx

4.3: 4.3-Applications of Derivatives  (Practice Test)

1. Geometrical Interpretation of a Derivative
2. Equation of Tangents and Normals to the circle
3. Equation of Tangent Line to Parabola at Given Point
4. Problem-Equation of Tangent Line to Parabola at Given Point
5. Equation of Normal to Ellipse at Point
6. More on Equation of Normal to Ellipse at Point
7. Angle Between Two Lines

4.4: 4.4-Maxima and Minima  (Practice Test)

1. Increasing and Decreasing Functions
2. More on Increasing and Decreasing Functions
3. Problem1-Increasing and Decreasing Functions
4. Introducing Relative Extrema
5. Problem1-Introducing Relative Extrema
6. Relative Maxima and Minima
7. Problem1-Relative Maxima and Minima
8. Problem2-Relative Maxima and Minima
9. Critical Values and Critical Points
10. Second Derivative Test and Concavity
11. More on Second Derivative Test and Concavity
12. Problem Solving-Second Derivative Test and Concavity
13. Point of Inflexion
14. Differential-Maxima and Minima Problems
15. Problem1a-Second Derivative and Its Applications
16. Problem2a-Second Derivative and Its Applications
17. Problem3a-Second Derivative and Its Applications