
Understanding Derivatives Using the Quotient Rule

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial function given for differentiation in the video?
f(x) = tan(x)
f(x) = sin(x) * cos(x)
f(x) = sin(x) / cos(x)
f(x) = cos(x) / sin(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What trigonometric identity is used to simplify the given function?
tan(x) = sin(x) / cos(x)
tan(x) = cos(x) / sin(x)
sin(x) = 1/cos(x)
cos(x) = 1/sin(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of tan(x) as mentioned in the video?
csc^2(x)
sec^2(x)
sec(x)
cot(x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of applying the quotient rule in this example?
To find the integral of the function
To practice the application of the quotient rule
To simplify the function
To find the limit of the function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the quotient rule, what do F and G represent?
Both F and G are denominators
Both F and G are numerators
F is the numerator, G is the denominator
F is the denominator, G is the numerator
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the derivative using the quotient rule?
F * G' + G * F' / F^2
G * F' - F * G' / G^2
F * G' - G * F' / F^2
G * F' + F * G' / G^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the expression cos^2(x) + sin^2(x) during simplification?
It becomes 0
It becomes 2
It becomes 1
It remains unchanged
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