
Understanding Linearization and Differentials

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Easy
Standards-aligned

Emma Peterson
Used 2+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of linearization in calculus?
To calculate the area under a curve
To solve differential equations
To approximate the value of a function near a known point
To find the exact value of a function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the linearization formula, what does f'(a) represent?
The second derivative of the function
The x-coordinate of the tangent point
The slope of the tangent line at point a
The y-intercept of the tangent line
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the linear approximation of the square root of 37 calculated?
Using the exact value of the square root
By finding the tangent line at x = 36
By using a calculator
By estimating using the square root of 36
Tags
CCSS.8.EE.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the estimated value of 2.1 cubed using linearization?
8.5
9.2
9.261
10.0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to use radians instead of degrees in trigonometric linearization?
Degrees are not a standard unit in calculus
Degrees are only used in geometry
Radians are easier to calculate
Radians provide more accurate approximations
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(x) used in linearization?
x
1/x
ln(x)
x^2
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between dx and delta x?
dx is unrelated to delta x
dx is the derivative of delta x
dx is equal to delta x
dx is always greater than delta x
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