AP Calculus AB Flashcards: The Chain Rule
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
To apply the chain rule, what must be true about the individual functions within a composition?
To apply the chain rule, the individual functions that form the composition must be differentiable.
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To apply the chain rule, what must be true about the individual functions within a composition?
To apply the chain rule, the individual functions that form the composition must be differentiable.
A student needs to differentiate a function that is a composition of two other functions. What is the key calculus technique they must use?
The student must apply the chain rule, which provides a way to differentiate composite functions.
What is the relationship between the chain rule and composite functions?
The chain rule is the specific tool used in calculus to find the derivative of composite functions.
What is a 'composition of differentiable functions'?
It is a composite function where the individual functions that make it up are all differentiable, allowing the chain rule to be applied.
If you need to find the derivative of a function formed by the composition of two differentiable functions, which rule must be used?
The chain rule must be used to calculate the derivative of a composition of differentiable functions.
The chain rule is used to find the derivative of what specific type of function?
The chain rule is used to find the derivative of compositions of differentiable functions.
Define the Chain Rule.
The chain rule is the rule that provides a method for calculating the derivatives of composite functions.
What mathematical operation does the chain rule allow you to perform on compositions of functions?
The chain rule allows you to calculate the derivatives of compositions of differentiable functions.
For which task is the chain rule an essential tool?
The chain rule is an essential tool for the task of calculating derivatives of compositions of differentiable functions.
What is the primary purpose of the chain rule?
The chain rule provides a way to differentiate composite functions.