
Partial Derivatives and Double Integrals

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of this multivariable calculus tutorial?
To provide a detailed explanation of single variable calculus
To solve complex calculus problems
To cover all topics in multivariable calculus
To discuss two core concepts of multivariable calculus
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the function f(x, y) do?
It takes three inputs and produces a number
It takes two inputs and produces a number
It takes a single input and produces a number
It takes no inputs and produces a number
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a partial derivative?
A derivative taken with respect to all variables
A derivative that does not involve any variables
A derivative taken with respect to a single variable while treating others as constants
A derivative that is only applicable to single variable functions
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you compute the partial derivative of f with respect to x?
By integrating the function with respect to x
By differentiating with respect to both x and y simultaneously
By treating y as a constant and differentiating with respect to x
By treating x as a constant and differentiating with respect to y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the partial derivative of x^2 with respect to x?
0
x^2
2x
x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the notation used for higher-order partial derivatives?
Using a single prime symbol
Using a double prime symbol
Using a tilde symbol
Using subscripts to indicate the order and variables
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a double integral?
An integral that does not require any computation
An integral that involves two variables and is computed iteratively
An integral that is computed twice over the same variable
An integral that involves only one variable
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