Difference Quotient and Limits
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formal name for the process of finding the slope of a secant line?
Difference quotient
Quotient rule
Product rule
Chain rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the difference quotient, what do we substitute x with?
h
2x
x - h
x + h
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of expanding (x + h)^2?
x^2 + h^2
x^2 + 2x + h
x^2 + 2xh + h^2
x^2 + 2xh
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What common mistake should be avoided when subtracting f(x) in the difference quotient?
Adding instead of subtracting
Using the wrong variable
Forgetting to distribute the negative sign
Multiplying instead of dividing
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which terms cancel out when simplifying the difference quotient?
x^2, 6x, and 2
x and 2x
x^2 and h^2
6x and h
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What can be factored out from the numerator after simplification?
6
x
2x
h
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final equation after applying the limit as h approaches zero?
x^2 + 6x + 2
2xh + h^2
x + h
2x + 6
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