Understanding Differentiation Part 1: The Slope of a Tangent Line

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Mathematics
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9th - 10th Grade
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal when finding a tangent line to a curve?
To find a line that is perpendicular to the curve
To find a line that has exactly one point in common with the curve
To find a line that is parallel to the curve
To find a line that intersects the curve at two points
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we initially calculate the slope of a line when only one point on the curve is known?
By selecting another point on the curve to form a secant line
By using the midpoint formula
By assuming the slope is zero
By using the formula for the area under the curve
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the slope of the secant line as the second point approaches the initial point?
The slope remains constant
The slope decreases indefinitely
The slope approaches a specific value
The slope becomes undefined
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line to the curve y = x^2 at the point (1, 1)?
1
2
3
4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does finding the slope of the tangent line at a point tell us about the function?
It tells us the average value of the function
It tells us the minimum value of the function
It tells us the rate of change of the function at that point
It tells us the maximum value of the function
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