F6 – Differentiation 4

Linearization

• Finding the equation of a tangent line (9.45)
• Linearization (4.11)
• Approximating functions using linearization (8.19)
• Another example (4.23)
• Examples using differentials (watch from 21:45 to 39.15)

Newton’s method of approximating roots

• Newton’s method (same video as above – watch from 39.15 onwards)
• PatrickJMT’s explanation and example (7.30)

Optimization

• Example 1 (7.14)
• Example 2 (7.06)
• Example 3 (10.02)
• Khan’s Examples

Related rates

• Radius and area of a circle (7.43)
• Balloon height (8.17)
• Water into a cone (11.32)
• Falling ladder (5.49)
• Distance between cars (6.53)
• Shadow (10.39)
• Ship example (9.57)
• Cone example (2.47)
• Laser example (8.46)
• Resistor example (9.25)