12-14-23 Implicit Differentiation
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Mathematics
•
University
•
Hard
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1.
FLASHCARD QUESTION
Front
What is implicit differentiation?
Back
Implicit differentiation is a technique used to find the derivative of a function defined implicitly by an equation involving both x and y, without solving for y explicitly.
2.
FLASHCARD QUESTION
Front
How do you apply the chain rule in implicit differentiation?
Back
In implicit differentiation, when differentiating a term involving y, you multiply by dy/dx. For example, if you differentiate y^2, you get 2y(dy/dx).
3.
FLASHCARD QUESTION
Front
Back
4.
FLASHCARD QUESTION
Front
Back
5.
FLASHCARD QUESTION
Front
Back
6.
FLASHCARD QUESTION
Front
What is the formula for the tangent line at a point on a curve?
Back
7.
FLASHCARD QUESTION
Front
How do you find the slope of the tangent line using implicit differentiation?
Back
Differentiate both sides of the equation with respect to x, solve for dy/dx, and evaluate at the given point.
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