
Understanding Function Composition and Derivatives

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

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What values are provided in the table for functions f and g?
Values of f and g at x=0 and x=1
Values of f and g at x=-1 and x=5
Values of f and g at x=-2 and x=4
Values of f and g at x=2 and x=3
Tags
CCSS.HSF-BF.A.1C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function F defined in terms of f and g?
F is the difference of f and g
F is the composition of f and g
F is the product of f and g
F is the sum of f and g
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical rule is applied to evaluate the derivative of a composite function?
Product Rule
Power Rule
Quotient Rule
Chain Rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying the chain rule to find F'(4)?
Find f'(4)
Find g'(4)
Find f(4)
Find g(4)
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of g(4) as given in the problem?
2
-2
4
0
Tags
CCSS.HSF.IF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f'(-2) used in the calculation of F'(4)?
3
2
1
0
Tags
CCSS.HSF.IF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of g'(4) as given in the problem?
10
6
4
8
Tags
CCSS.HSF-BF.A.1C
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