
Understanding Partial Derivatives in Calculus

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

Olivia Brooks
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 derivative of a function with respect to x?
Consider x as a constant and differentiate with respect to y.
Consider y as a constant and differentiate with respect to x.
Differentiate with respect to both x and y simultaneously.
Ignore the variable y completely.
Tags
CCSS.7.EE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to x, what is the derivative of -2x^6?
-12x^5
-12x^6
0
6x^5
Tags
CCSS.7.EE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 6xy^2, what is treated as a constant when differentiating with respect to x?
6
y^2
y
x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of 5y^3 with respect to x?
15y^2
0
5y^2
3y^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to y, what is the derivative of -2x^6?
12x^5
-2x^6
0
-12x^5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 6xy^2 with respect to y?
6x
12xy
6y
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of 5y^3 with respect to y?
5y^2
0
3y^2
15y^2
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