MATSEC AM Pure Mathematics Complete Prep Course — Lesson 67: Parametric differentiation

Sarah derives d y by d x as d y by d t divided by d x by d t, valid wherever d x by d t is not zero. She works x equals t squared with y equals t cubed to three t over two, then shows the second derivative is the t derivative of the gradient divided by d x by d t, never the ratio of second derivatives. Stationary points, vertical tangents and tangent lines follow.

Lesson 67 of 158 in the MATSEC AM Pure Mathematics Complete Prep Course audio course from ExamPrepRise.

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