Learn the basics to implicit differentiation
Interactive Video
•
Mathematics, Information Technology (IT), Architecture
•
11th Grade - University
•
Practice Problem
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of X^2 with respect to X?
2X
2
X
X^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the chain rule necessary when differentiating Y^2 with respect to X?
Because Y is a constant
Because Y is a function of X
Because Y is independent of X
Because X is a function of Y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key advantage of using Y prime over dy/dx?
Y prime is less common
Y prime is more descriptive
Y prime is faster to write
Y prime is more accurate
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of dy/dx after solving for it?
-2X/2Y
X/Y
2X/2Y
-X/Y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for dy/dx after substituting Y?
X / (4 + X^2)^1/2
-X / (4 - X^2)^1/2
-X / (4 + X^2)^1/2
X / (4 - X^2)^1/2
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