Implicit Differentiation Quiz
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of sin(x) with respect to x?
-sin(x)
-cos(x)
sin(x)
cos(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In implicit differentiation, what additional step is needed when differentiating a function of y?
Subtract dy/dx
Add dy/dx
Multiply by dy/dx
Multiply by dx/dy
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of a circle with radius 5 centered at the origin?
x^2 - y^2 = 5
x^2 + y^2 = 25
x^2 + y^2 = 5
x^2 - y^2 = 25
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using implicit differentiation on x^2 + y^2 = 25, what is the derivative of y^2?
2y dy/dx
2y
2x dy/dx
2x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of differentiating x^3 with respect to x?
x^3
3x
3x^2
x^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x^3 + y^3 = 2xy, what rule is used to differentiate the right side?
Chain rule
Product rule
Quotient rule
Power rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of y^2 with respect to x using implicit differentiation?
2y
2y dy/dx
2x
2x dy/dx
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