Learn how to find the derivative of the integral

Learn how to find the derivative of the integral

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial covers the process of integrating a function, specifically focusing on the sine function from X^2 to π/2. It emphasizes the importance of understanding the fundamental theorem of calculus and the application of the chain rule when dealing with functions within functions. The tutorial concludes with deriving the final answer using the cosine function.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the evaluation of sine functions change in the context provided?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the fundamental theorem of calculus as mentioned in the text?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when the upper bound is X^2 compared to when it is X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of applying the chain rule as described in the text.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer derived in the text, and how is it obtained?

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