Find the derivative of exponential with the base as a fraction

Find the derivative of exponential with the base as a fraction

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the importance of rewriting exponentials for derivative calculations. It covers the process of rewriting functions, taking derivatives, and handling negatives in the calculations. The tutorial emphasizes the need to multiply by the natural logarithm of the base and the derivative of the inside function, highlighting the importance of correctly managing negative signs to avoid errors.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of rewriting exponentials in calculus?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of taking the derivative of a function that involves cosine.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the presence of a negative sign affect the derivative of cosine?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the derivative of cosine and sine.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What would happen if the base of the exponential was not included in the derivative calculation?

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