Chain Rule and Implicit Differentiation
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the chain rule used for in calculus?
Back
Finding the derivative of a composite function.
2.
FLASHCARD QUESTION
Front
Find dy/dx at the given point: x^3 + 2xy - y^2 = 11 at (2,3)
Back
9
3.
FLASHCARD QUESTION
Front
Use implicit differentiation to find y' for the equation: 4x cos(y) = 1
Back
y' = cos(y) / (x sin(y))
4.
FLASHCARD QUESTION
Front
Find f '(x) if f(x) = x^4 sin(x)
Back
f '(x) = x^4 cos(x) + 4x^3 sin(x)
5.
FLASHCARD QUESTION
Front
Find dy/dx by Implicit Differentiation: x^3 + y^3 = 36
Back
dy/dx = -x^2 / y^2
6.
FLASHCARD QUESTION
Front
State the formula for the chain rule in differentiation.
Back
If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).
7.
FLASHCARD QUESTION
Front
What is implicit differentiation?
Back
A technique to find the derivative of a function defined implicitly by an equation.
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