
Tangent Lines and Their Properties

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the curve discussed in the video?
y^2 + xy = 3
y^2 - xy = 3
y^3 + xy = 2
y^3 - xy = 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of y with respect to x for the given curve?
y / (3y^2 - x)
x / (3y^2 - x)
y / (2y^2 - x)
x / (2y^2 - y)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the equation for the tangent line?
y = mx + b
y = mx - b
y = m + bx
y = b - mx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the slope of the tangent line at a given point?
By using the derivative at that point
By using the y-intercept
By using the x-intercept
By using the midpoint formula
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line at the point (-1, 1)?
1/4
1/3
1/2
1/5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after finding the slope of the tangent line?
Solve for the y-intercept
Find the x-intercept
Determine the area under the curve
Calculate the midpoint
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-intercept of the tangent line at the point (-1, 1)?
7/4
5/4
3/4
1/4
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