Implicit Differentiation
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Implicit Differentiation?
Back
A technique used to find the derivative of a function defined implicitly by an equation involving both x and y.
2.
FLASHCARD QUESTION
Front
When is Implicit Differentiation used?
Back
It is used when a function is not explicitly solved for y in terms of x.
3.
FLASHCARD QUESTION
Front
Differentiate the equation x^3 + y^3 = 36 implicitly with respect to x.
Back
dy/dx = -x^2/y^2.
4.
FLASHCARD QUESTION
Front
Differentiate the equation xy + y^2 = 2 implicitly with respect to x.
Back
dy/dx = -y/(x + 2y).
5.
FLASHCARD QUESTION
Front
Differentiate the equation xy = 6 implicitly with respect to x.
Back
dy/dx = -y/x.
6.
FLASHCARD QUESTION
Front
Differentiate the equation sin(y^2) = x implicitly with respect to x.
Back
dy/dx = 1/(2y cos(y^2)).
7.
FLASHCARD QUESTION
Front
What is the Chain Rule in the context of Implicit Differentiation?
Back
The Chain Rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.
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