
Understanding Derivatives and the Chain Rule

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

Emma Peterson
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 objective of the problem discussed in the video?
To find the integral of a function
To evaluate a definite integral
To find the derivative of a composite function
To solve a differential equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is essential for finding the derivative of the given function?
Chain Rule
Product Rule
Power Rule
Quotient Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the chain rule, what is the 'outer function' in this problem?
Logarithmic function
Exponential function
Inverse hyperbolic tangent function
Square root function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of 'U' in the derivative formula discussed?
It is the derivative of the outer function
It represents the inner function
It is a constant
It represents the outer function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the inner function expressed using rational exponents?
As x^(1/2)
As x^2
As x^1
As x^(-1/2)
Tags
CCSS.HSF-BF.B.4A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical rule is applied to find the derivative of the inner function?
Chain Rule
Power Rule
Product Rule
Quotient Rule
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse hyperbolic tangent function with respect to its argument?
U / (1 + U^2)
U / (1 - U^2)
1 / (1 - U^2)
1 / (1 + U^2)
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