Uploaded February 2021 | Updated September 2026, 1 week ago

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In this video, we take a look at the first and second derivatives of parametric equations. The first two questions relate to deriving equations for the derivatives. We also take a look at calculating the area enclosed by a parametric curve using integration. The problems are available as a PDF file at github.com/juanklopper/Vector-calculus if you want to try them before watching the tutorial.

The time code for the problems are listed below.

Problem 1.1 - 0:00:29
Problem 1.2 – 0:04:07
Problem 1.3 – 0:07:48
Problem 1.4 – 0:10:14
Problem 1.5 – 0:16:16
Problem 1.6 – 0:17:30
Problem 1.7 – 0:23:28
Problem 1.8 – 0:24:39
Problem 1.9 – 0:27:27
Problem 1.10 – 0:32:20
Problem 1.11 – 0:34:22
Problem 1.12 – 0:36:39
Problem 1.13 – 0:39:24
Problem 1.14 – 0:47:59
Problem 2.1 – 0:54:48
Problem 2.2 – 0:58:05
Problem 2.3 – 1:04:17
Problem 2.4 – 1:09:25
Problem 2.5 – 1:14:10
Problem 2.6 – 1:16:24