
Implicit Differentiation and Application
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem introduced in the video?
To determine the relationship between labor and capital
To calculate the cost of production
To solve for dy/dx in the given equation
To find the number of cell phones produced
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical rule is applied when differentiating a y term with respect to x?
Power rule
Chain rule
Quotient rule
Product rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in performing implicit differentiation?
Differentiate both sides with respect to y
Apply the product rule
Simplify the equation
Differentiate both sides with respect to x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the product rule, what is done after differentiating the first function?
Divide by the derivative of the second function
Subtract the derivative of the second function
Add the derivative of the second function
Multiply by the derivative of the second function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of differentiating the constant 450 with respect to x?
1
0
x
450
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression for dy/dx simplified after applying the product rule?
By adding terms
By multiplying terms
By dividing terms
By subtracting terms
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified expression for dy/dx in terms of x and y?
-x/3y
3x/y
-3y/x
y/3x
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