Partial Derivatives and Their Rules
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the notation for the partial derivative of a function f with respect to x?
dx/df
df/dx
∂f/∂x
∂x/∂f
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of partial derivatives, what does it mean to keep a variable constant?
Differentiate the variable normally
Set the variable to zero
Treat the variable as a constant value
Ignore the variable completely
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of x^2y with respect to x?
y
x^2
2xy
2x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When taking the partial derivative of a function with respect to y, what should be done with x?
Treat x as a constant
Differentiate x normally
Ignore x
Set x to zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of e^(x+y) with respect to x?
e^(x+y)
e^(x+y) * (x+y)
e^(x+y) * y
e^(x+y) * 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used when differentiating e^(x+y) with respect to x?
Power rule
Chain rule
Quotient rule
Product rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of log base 3 of y^2 - x^2 with respect to x?
-2x / ((y^2 - x^2) * ln(3))
2x / ((y^2 - x^2) * ln(3))
-2x / ln(3)
2x / ln(3)
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