
Calculus Challenge
Authored by Nama Belakang
Mathematics
University
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = 3x^2 + 2x - 5?
f'(x) = 3x^2 + 2
f'(x) = 6x - 2
f'(x) = 3x^2 + 2x - 5
f'(x) = 6x + 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to find the derivative of a product of two functions?
Quotient Rule
Product Rule
Chain Rule
Power Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the definite integral of f(x) = 4x^3 + 2x^2 - 3x + 1 from 0 to 2?
28 + 16/3
28 + 16/2
28 + 16/4
28 + 16/5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which situation would you use L'Hopital's Rule?
When simplifying algebraic expressions
When solving systems of linear equations
When finding the derivative of a function
When evaluating limits resulting in indeterminate forms
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area under the curve y = x^2 from x = 0 to x = 3?
9
15
12
6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of (sin(x) / x) as x approaches 0?
2
1
0
π
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of f(x) = 5x^4 - 3x^2 + 2x?
f''(x) = 10x^4 - 3x^2 + 2
f''(x) = 30x^3 - 6
f''(x) = 60x^2 - 6
f''(x) = 20x^2 - 3
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