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Lesson: Derivatives of Vector-Valued Functions Mathematics • Higher Education

In this lesson, we will learn how to determine the derivatives of vector-valued functions and find unit tangent vectors.

Lesson Plan

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.

Q1:

Given that , where and are constants, find .

Q2:

Find the derivative of a vector-valued function .

Q3:

Find the derivative of the vector-valued function .

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