Lesson Plan: Second Derivatives of Parametric Equations | Nagwa Lesson Plan: Second Derivatives of Parametric Equations | Nagwa

# Lesson Plan: Second Derivatives of Parametric Equations Mathematics

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.