Vector Derivatives
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Objective
I can compute the derivative of a vector function with respect to time.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Define the directional derivative in your own words and explain its significance in the context of vector functions.
Given a vector v = (3, -2), describe how you would compute the directional derivative of a function f at the point (1, 1) in the direction of v.
Part 3 of 3
Exit ticket
Quick comprehension check
“Given the vector function r(t) = (2t, 3t²), compute the derivative of r with respect to time t. Show all work. For the vector function s(t) = (t³, sin(t)), calculate the derivative of s with respect to time t. Show all work. ”
Sample answer included in the free materials
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