Find the derivative using quotient rule inside of the product rule

Find the derivative using quotient rule inside of the product rule

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the process of finding derivatives using the product and quotient rules. It begins with an introduction to the product rule and its notation, followed by a detailed explanation of finding F prime using the quotient rule. The tutorial then simplifies the expression for F prime and calculates G prime, emphasizing the importance of using brackets. Finally, it combines F prime and G prime to find H prime and concludes with the final simplification steps, including finding common denominators.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the product rule for derivatives as described in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find F prime of X based on the provided information.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in simplifying the derivative as mentioned in the text?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding G prime of X as outlined in the text.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the quotient rule according to the discussion?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of using brackets in the quotient rule?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What common mistakes should be avoided when simplifying derivatives?

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