
Understanding Second Derivatives of Vector-Valued Functions

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal when determining the second derivative of a vector-valued function?
To apply the chain rule
To find the rate of change of the function
To find the second derivative of both x and y components
To simplify the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 3t squared?
t squared
9t
6t
3t
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied when differentiating 4 cosine 2t?
Power rule
Chain rule
Product rule
Quotient rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 5t in the y component?
0
t
5
10t
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the first derivative's x component?
6t - 8 cosine 2t
6t - 8 sine 2t
6t + 8 sine 2t
6t + 8 cosine 2t
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 6t in the second derivative?
6
t
0
12t
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of negative 6 cosine 6t in the y component of the second derivative?
Negative 6 sine 6t
Negative 36 sine 6t
6 sine 6t
36 sine 6t
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