
Understanding Derivatives: Chain Rule and Product Rule

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

Olivia Brooks
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 video tutorial?
To find the integral of a complex expression
To simplify a trigonometric identity
To find the derivative of a complex expression
To solve a quadratic equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is suggested to be applied first in the first approach?
Product Rule
Quotient Rule
Power Rule
Chain Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the chain rule first approach, what is the 'something' referred to?
sin(x)
x^2
cos(x)
x^2 sin(x)
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical property is used to simplify the expression before applying the product rule?
Associative Property
Distributive Property
Commutative Property
Exponent Properties
Tags
CCSS.HSA.APR.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x^6 with respect to x?
x^6
6x^6
x^5
6x^5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the product rule first approach, what is the derivative of sin(x) with respect to x?
x sin(x)
x cos(x)
-sin(x)
cos(x)
Tags
CCSS.8.EE.C.7B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main advantage of using different strategies to solve the problem?
To increase the complexity of the problem
To find multiple solutions
To use more mathematical rules
To minimize errors and simplify calculations
Tags
CCSS.8.EE.C.7B
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