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

In this worksheet, we will practice determining the derivatives of vector-valued functions and finding unit tangent vectors.

Q1:

Given that , where and are constants, find .

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Q2:

Find the derivative of a vector-valued function .

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Q3:

Find the derivative of the vector-valued function .

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Q4:

Find the derivative of a vector-valued function .

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Q5:

Find the derivative of a vector-valued function .

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Q6:

Find the derivative of a vector-valued function .

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Q7:

Find the derivative of the following vector-valued function:

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Q8:

Find the derivative of the vector-valued function .

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Q9:

Find the derivative of the vector-valued function .

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Q10:

For the curve defined by the vector-valued equation , find the value of .

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This lesson includes 2 additional questions and 54 additional question variations for subscribers.