Using power rule with square root to take derivative on a logarithm

Using power rule with square root to take derivative on a logarithm

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of the chain rule in calculus, focusing on a double chain rule problem. It demonstrates how to simplify expressions and calculate derivatives step-by-step, using the example of the natural logarithm of a square root function. The tutorial emphasizes understanding the inner and outer functions and how to apply the chain rule effectively.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of rewriting the expression as Ln of (X + 1)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the concept of a double chain rule as mentioned in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does taking out the 1/2 simplify the derivative process?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the derivative of U with respect to X, and why is it equal to 1?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the final steps of distributing the derivative and its implications.

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