
Partial Derivatives and Differentiation Techniques

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

Mia Campbell
FREE Resource
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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 first order of partial derivatives for a given function?
Apply the product rule
Differentiate with respect to y
Use the quotient rule
Rewrite the function using rational exponents
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of defining an inner function 'u' when using the chain rule?
To eliminate constants
To avoid using the product rule
To simplify the differentiation process
To change the variable of integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to x, what is considered constant?
y
x
The entire function
u
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 5x^3 with respect to x?
5x^3
15x^3
15x^2
5x^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the negative exponent handled when simplifying the partial derivative with respect to x?
It is moved to the numerator
It is ignored
It is multiplied by zero
It is moved to the denominator
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the partial derivative with respect to y, what is considered constant?
x
y
u
The entire function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 4y with respect to y?
4y
0
4
y
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