
Understanding Derivatives of Composite Functions

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

Amelia Wright
FREE Resource
Standards-aligned
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6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function u in the given composite function?
x squared plus 4x
x squared minus 4x
x plus 4
x minus 4
Tags
CCSS.HSF-BF.A.1C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inner function u, denoted as u prime?
x squared plus 4
2x plus 4
2x minus 4
x squared minus 4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the derivative of the natural log of a function expressed?
u squared minus u prime
u prime divided by u
u times u prime
1/u times u prime
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the factored form of the derivative's numerator?
x times (x plus 4)
x times (x minus 4)
2 times (x minus 2)
2 times (x plus 2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property of logarithms is incorrectly applied to the given function?
Logarithm of a product
Logarithm of a quotient
Logarithm of a power
Logarithm of a sum
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the function be rewritten as the difference of two logs?
Because it is a sum
Because it is a product
Because it is not a quotient
Because it is a power
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