Take the log of both sides to find the derivative

Take the log of both sides to find the derivative

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify complex derivative problems using logarithms. It covers the properties of logarithms, expanding logarithmic equations, and applying derivative rules like the quotient, product, and chain rules. The tutorial also demonstrates implicit differentiation, making the process more efficient and less time-consuming.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step mentioned for solving the equation involving D over DX?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the one-to-one property of logarithms as discussed in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can taking the logarithm of both sides simplify the process of taking derivatives?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the properties of logarithms that can be used to simplify the derivative process?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using the chain rule in the context of the derivative discussed.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for DY over DX as derived in the text?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How does substituting the value of Y into the final expression affect the outcome?

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