What rule is applied to find the derivative of a function formed by the quotient of two functions?
Calculus I: The Quotient Rule (Level 3 of 3)

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quotient Rule
Chain Rule
Product Rule
Reciprocal Rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example where f(x) = h(x)/x, what is the value of f'(2) given h(2) = 4 and h'(2) = -3?
-5
5
3
-3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the derivative of x = 1/g(x), which rule could also be used besides the quotient rule?
Product Rule
Power Rule
Reciprocal Rule
Chain Rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final value of f'(0) when g(0) = 2 and g'(0) = 1 for the function x = 1/g(x)?
14
-7
-14
7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the derivative of a function represented geometrically on a graph?
As the y-coordinate of the function
As the x-coordinate of the function
As the area under the curve
As the slope of the tangent line
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example using graphs, what is the value of q'(4) when f(4) = 7, g(4) = 3, f'(4) = -1, and g'(4) = 0?
-1/3
1/3
-3
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the final example, what is the value of q'(7) when f(7) = 4, g(7) = 4, f'(7) = 2, and g'(7) = -1?
1/2
3/4
1/4
2/3
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