
Understanding the Chain Rule in Calculus

Interactive Video
•
Mathematics
•
9th - 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 is the chain rule primarily used for in calculus?
To solve linear equations
To find the derivative of composite functions
To integrate complex functions
To calculate limits
Tags
CCSS.HSF.IF.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given example, what is the function h(x) equal to?
sine of x
tangent of x
cosine of x squared
sine of x squared
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x squared with respect to x?
x
x squared
2x
2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the thought experiment involving different variables?
To introduce new calculus concepts
To demonstrate the complexity of calculus
To solve algebraic equations
To show the application of the chain rule with different variables
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a squared with respect to a?
2
a
a squared
2a
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the chain rule, what is the derivative of sine of x with respect to x?
secant of x
tangent of x
cosine of x
sine of x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the chain rule to the function sine of x squared?
2 cosine of x
2 sine of x times cosine of x
sine of x squared
sine of x times cosine of x
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