
Understanding the Sum and Difference Derivative Rule
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Sophia Harris
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 focus of the video tutorial?
Proving the product rule
Proving the sum derivative rule
Proving the chain rule
Proving the quotient rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical concept is used to prove the sum derivative rule?
Taylor series expansion
Limit definition of the derivative
Integration by parts
Partial fraction decomposition
Tags
CCSS.6.EE.A.2C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying the limit definition to the sum of two functions?
Subtracting the function values
Adding the function values
Multiplying the function values
Dividing the function values
Tags
CCSS.6.EE.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of distributing terms in the expression?
To simplify the expression
To complicate the expression
To eliminate the expression
To factor the expression
Tags
CCSS.7.EE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the terms rearranged in the expression?
By writing the F's last
By writing the F's next to each other and the G's next to each other
By writing the F's and G's together
By writing the G's first
Tags
CCSS.6.EE.A.2C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is done after rearranging the terms in the expression?
The expression is divided into two fractions
The expression is multiplied
The expression is subtracted
The expression is added
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after breaking the expression into two fractions?
Applying the product rule
Applying the quotient rule
Applying the chain rule
Applying the limit to each fraction
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