Calculus: Derivatives and Quotient Rule
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function given in the problem that requires finding its derivative?
f(x) = 2cos(x)/x
f(x) = 2tan(x)/x
f(x) = 2cot(x)/x
f(x) = 2sin(x)/x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to find the derivative of the given function?
Product Rule
Chain Rule
Quotient Rule
Power Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the quotient rule, what is the expression for the derivative of a function f(x)/g(x)?
g(x)f'(x) - f(x)g'(x) / g(x)^2
f(x)g'(x) - g(x)f'(x) / f(x)^2
f'(x)g(x) + f(x)g'(x) / g(x)^2
g(x)f'(x) + f(x)g'(x) / f(x)^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 2tan(x) with respect to x?
2sec(x)
2sec^2(x)
2tan(x)sec(x)
2cos^2(x)
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of tangent at π/4?
2
0
1
√2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact value of f'(π/4) after simplification?
8π - 1/π^2
16π - 2/π^2
2π - 1/π^2
4π - 2/π^2
Tags
CCSS.HSF.IF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate decimal value of f'(π/4) to three decimal places?
1.851
0.577
2.718
3.142
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