Implicit Differentiation Techniques
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial equation given for implicit differentiation?
y^2 + 4x^3 = 9x - 3y^2
y^2 + 4x^3 = 9y - 3x^2
y^2 + 4x^2 = 9y - 3x^3
y^3 + 4x^2 = 9y - 3x^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When differentiating a term that only contains x, how do we proceed?
Multiply by dy/dx
Differentiate normally
Use the chain rule
Use integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied when differentiating terms involving y?
Power rule
Chain rule
Quotient rule
Product rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of y^2 with respect to x?
2y
y * dy/dx
2y * dy/dx
2x * dy/dx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 4x^3 with respect to x?
4x^2
12x
12x^2
3x^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we handle dy/dx terms on both sides of the equation?
Divide them
Add them together
Subtract them from both sides
Multiply them
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor that is factored out when solving for dy/dx?
9
x
2y
dy/dx
Tags
CCSS.8.EE.C.8B
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