
Derivatives and Chain Rule Concepts

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

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function u when finding the derivative of f(x) = inverse tangent of 2x^5?
5x^2
x^2
x^5
2x^5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inner function u = 2x^5 with respect to x?
10x^4
2x^4
5x^4
x^4
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct expression for f'(x) after applying the chain rule?
10x^4 / (1 + 4x^10)
10x^4 / (1 + 2x^5)
10x^4 / (1 + x^10)
10x^4 / (1 + 4x^5)
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't we simplify 10x^4 and 4x^10 in the expression for f'(x)?
Because they are not like terms
Because they are separated by addition
Because they are constants
Because they are in different functions
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function u when finding the derivative of g(x) = inverse secant of 3x^3?
x^2
3x^2
x^3
3x^3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inner function u = 3x^3 with respect to x?
x^2
6x^2
9x^2
3x^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct expression for g'(x) after applying the chain rule?
9x^2 / (|3x^3| * sqrt(9x^6 - 1))
9x^2 / (|x^3| * sqrt(9x^6 - 1))
9x^2 / (|3x^3| * sqrt(x^6 - 1))
9x^2 / (|x^3| * sqrt(x^6 - 1))
Tags
CCSS.HSA.APR.D.6
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