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Lesson Plan: Derivatives of Vector-Valued Functions Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine the derivatives of vector-valued functions and find unit tangent vectors.
Objectives
Students will be able to
- find the derivative of a vector-valued function by differentiating each component,
- find the derivative of the dot and cross products of two vector-valued functions,
- find the tangent line at a point,
- find the unit tangent vector at a point.
Prerequisites
Students should already be familiar with
- vectors in 2 and 3 dimensions,
- dot and cross products of vectors,
- differentiation.
Exclusions
Students will not cover
- integrals of vector-valued functions.
