Lesson Plan: Second Derivatives of Parametric Equations Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find second derivatives and higher-order derivatives of parametric equations by applying the chain rule.

Objectives

Students will be able to

  • find the second derivatives of parametric equations,
  • evaluate the second derivative of a pair of parametric equations at a given point.

Prerequisites

Students should already be familiar with

  • differentiating polynomial, rational, trigonometric, logarithmic, and exponential functions,
  • implicit differentiation,
  • the chain, product, and quotient rules of differentiation,
  • finding the first derivative of parametric equations.

Exclusions

Students will not cover

  • finding higher-order derivatives of parametric equations.

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