Why is it important to understand tangent lines in calculus?

Verifying Functions and Slope Concepts

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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23 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
They are crucial for determining the slope of a curve at a point.
They help in finding the area under a curve.
They are essential for understanding limits.
They are used to calculate integrals.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the slope of the line 2y + x = 6?
Isolate y on one side of the equation.
Multiply both sides by 2.
Add x to both sides.
Subtract 6 from both sides.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the line 2y + x = 6 after isolating y?
-1/2
1/2
2
-2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for two lines to be parallel?
They are perpendicular to each other.
They have the same slope.
They have different slopes.
They intersect at one point.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the slope of a tangent line?
By solving for y in the equation.
By using the chain rule.
By using the product rule.
By finding the derivative of the function.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is used to find the derivative in this context?
Product rule
Chain rule
Quotient rule
Power rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the quotient rule to find f'(x)?
-2/(x-1)^2
x + 1
x - 1
2x
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