Verifying Functions and Slope Concepts

Verifying Functions and Slope Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Miss Hearne explains the importance of understanding tangent lines in calculus. The video covers identifying the slope of a line, using derivatives to find the slope of a tangent line, solving equations to find x values for specific slopes, and finding the equation of tangent lines using given points. The tutorial emphasizes the significance of these concepts in calculus and provides step-by-step instructions for solving related problems.

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23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to understand tangent lines in calculus?

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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