Maths 1 - Open Session for Week 8

0:00 4:43 Overview of week 8 contents 4:43 18:01 Example Why we need differentiation? 18:01 21:43 Differentiability of one variable function 0:21:43 0:24:18 Example Derivative of sin x at x=0 0:24:18 0:36:42 Example Continuity and differentiability 0:36:42 0:51:20 Example Differentiability of one variable function 0:51:20 0:53:40 Derivatives of some common functions 0:53:40 0:55:40 Increasing and decreasing functions 0:55:40 0:57:36 Derivatives of some common functions 0:57:36 1:07:50 L'Hopital's Rule 1:07:50 1:14:25 Examples L'Hopital's Rule 1:14:25 1:19:47 Tangent 1:19:47 1:21:22 How to find the tangent line equation 1:21:22 1:26:54 Examples How to find the tangent line equation 1:26:54 1:34:24 Examples Chain rule 1:34:24 1:42:12 Linear Approximation 1:42:12 1:48:01 Example 1 Linear Approximation 1:48:01 1:53:15 Example 2 Linear Approximation 1:53:15 1:55:24 Brief on Critical Points 1:55:24 1:58:17 Saddle Point 1:58:17 1:59:13 Second derivative test 1:59:13 2:02:19 Example Second derivative test 2:02:19 2:09:07 Convergent sequences 2:09:07 2:16:55 AQ 7.1 Question 10 2:16:55 2:21:04 Bijection 2:21:04 2:24:34 AQ 7.3 Question 4 Tangent 2:24:34 2:31:06 AQ 7.5 Question 7 Limits and continuity 2:31:06 2:46:55 Conclusion and end of session