
Partial Derivatives and Their Rules

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

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the partial derivatives of the given function?
Differentiate with respect to all variables simultaneously.
Apply the chain rule directly.
Use the product rule.
Rewrite the function using a rational exponent.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to X, which terms are treated as constants?
X and Z
Y and Z
None of the terms
X and Y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied along with the power rule to find the partial derivative with respect to X?
Chain rule
Quotient rule
Product rule
Sum rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 5x with respect to X?
6
4
5
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In finding the partial derivative with respect to Y, what is the derivative of 6y with respect to Y?
0
5
4
6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the exponent when moving the term to the denominator in the partial derivative with respect to Y?
It doubles.
It becomes positive.
It halves.
It becomes negative.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to Z, which terms are treated as constants?
X and Z
Y and Z
X and Y
None of the terms
Tags
CCSS.7.EE.A.1
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