
Understanding Taylor Polynomials and Derivatives

Interactive Video
•
Mathematics
•
10th - 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 main goal of the problem discussed in the video?
To find the value of x in a polynomial
To solve a quadratic equation
To determine the coefficient of a specific term in a Taylor polynomial
To calculate the integral of a function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a Taylor polynomial centered at x = -2, what is the expression for the first term?
f(x) divided by 1 factorial
f(x) times x plus 2
f(-2) times x minus 2
f(-2) divided by 0 factorial
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the pattern observed in the terms of a Taylor polynomial?
Each term is independent of x
Each term involves a higher power of x
Each term is a constant
Each term involves a derivative evaluated at the center
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is primarily used to calculate the derivatives in the video?
Power rule
Chain rule
Quotient rule
Product rule
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the fourth derivative of the function before evaluation?
120x^3
6x^5
360x^2
30x^4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the fourth derivative evaluated at x = -2?
By substituting x = 2
By substituting x = -2
By substituting x = 0
By substituting x = 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 4 factorial used in the coefficient calculation?
32
12
24
16
Tags
CCSS.HSA.APR.C.5
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