
Tangent and Normal Lines Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Thomas White
FREE Resource
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14 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary difference between a tangent line and a normal line?
A tangent line intersects the curve at one point, while a normal line is perpendicular at that point.
A tangent line intersects the curve at two points, while a normal line intersects at one.
A tangent line is parallel to the curve, while a normal line is perpendicular.
A tangent line is perpendicular to the curve, while a normal line is parallel.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the equation of a tangent line?
Find the x-coordinate.
Find the y-coordinate.
Find the equation of the curve.
Find the slope of the normal line.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the equation of a tangent line, what do you substitute into the derivative?
The y-coordinate
The slope of the normal line
The x-coordinate
The entire equation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example provided, what is the y-coordinate when x = 2 for the equation y = x^3 - 3?
3
5
2
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of y = x^3 - 3?
x^3
x^2
3x
3x^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the tangent line found in the example?
y = 12x + 19
y = 12x - 19
y = 19x - 12
y = 19x + 12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the gradient of a normal line?
By taking the reciprocal of the tangent line's gradient
By taking the negative reciprocal of the tangent line's gradient
By doubling the tangent line's gradient
By halving the tangent line's gradient
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