Find the point where their exist a horizontal tangent line

Find the point where their exist a horizontal tangent line

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find horizontal tangent lines by setting the derivative of a function to zero. It covers the process of finding the derivative, solving for when the cosine of X equals -1, and determining the angle in radians. Finally, it calculates the coordinate points using the determined X value.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of a horizontal tangent line in relation to the derivative of a function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine when the derivative of a function is equal to zero?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the derivative of sine and cosine functions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What angle corresponds to the cosine value of -1 within the interval of 0 to 2π?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

After finding the x value for the horizontal tangent line, how do you find the corresponding y coordinate?

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