Derivatives of Composite Functions: The Chain Rule

Derivatives of Composite Functions: The Chain Rule

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the chain rule, a method for differentiating composite functions. It begins with an introduction to the necessity of the chain rule, followed by a detailed explanation of its application. The tutorial includes practice examples and advanced applications, such as combining the chain rule with product and quotient rules. It concludes with differentiating complex functions using the chain rule, emphasizing the importance of order and organization in solving problems.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of differentiating a function that is a quotient of two other functions.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the product rule in conjunction with the chain rule?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you differentiate sine of cosine of tangent of x using the chain rule?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of using the chain rule when differentiating multiple functions?

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