Calculus Quiz
Authored by Cường Vũ
Mathematics
University
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114 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the absolute maximum value of the function f(x) = x³ - 3x² + 2 on the interval [-1, 3]?
2
4
6
8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is a critical point of the function f(x) = x⁴ - 8x² + 2?
x = 0
x = 2
x = -2
All of the above
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On what interval is the function f(x) = x³ + 3x² - 9x + 5 increasing?
(-∞, -3)
(-3, 1)
(1, ∞)
(-∞, -3) U (1, ∞)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On what interval is the function f(x) = x⁴ - 4x³ + 6x² - 4x + 1 concave up?
(-∞, 1)
(1, ∞)
(-∞, ∞)
None of the above
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Mean Value Theorem for a function f(x) on the interval [a, b] states:
There exists a c in (a, b) such that f'(c) = (f(b) - f(a))/(b - a)
f(x) is continuous on [a, b]
f(x) is differentiable on (a, b)
All of the above
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following conditions is necessary to apply L'Hopital's Rule?
The limit must be in an indeterminate form
The function must be continuous
The function must be differentiable
a and c
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the antiderivative of the function f(x) = 2x?
x² + C
x²/2 + C
2x + C
2
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