Quotient Rule
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
Used 1+ times
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Quotient Rule in algebra?
Back
The Quotient Rule states that if you have a function that is the quotient of two other functions, the derivative of that function is given by: (f/g)' = (f'g - fg') / g².
2.
FLASHCARD QUESTION
Front
Simplify: x^10 ÷ x^2
Back
x^8
3.
FLASHCARD QUESTION
Front
If a^m ÷ a^n = a^(m-n), what is the result of a^15 ÷ a^8?
Back
a^7
Tags
CCSS.8.EE.A.1
4.
FLASHCARD QUESTION
Front
What happens when you divide a number by itself?
Back
The result is 1, as long as the number is not zero.
Tags
CCSS.5.NBT.A.2
5.
FLASHCARD QUESTION
Front
Simplify: g^25 ÷ g^25
Back
1
6.
FLASHCARD QUESTION
Front
What is the result of x^n ÷ x^n?
Back
1, for any non-zero x.
7.
FLASHCARD QUESTION
Front
If f(x) = x^4 and g(x) = x^2, what is the derivative of f/g using the Quotient Rule?
Back
(4x^3 * x^2 - x^4 * 2x) / (x^2)^2 = (4x^5 - 2x^5) / x^4 = 2x.
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