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Second Derivatives and Beyond
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Calculus
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Second Derivatives and Beyond
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Module Quizzes
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What's Concave Up? Quiz
TABLE OF CONTENTS
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What's Concave Up?
True or False
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Second Derivatives and Beyond: What's Concave Up? True or False
1.
Which of the following statements is true? > A differentiable function need not be defined everywhere.
True
False
2.
Find the second derivative of the function
f
(
x
) = sin
x
. >
f
"(
x
) = cos
x
True
False
3.
Find the second derivative of the function
f
(
x
) =
xln
x. >
ln
x
+ 1
True
False
4.
Let
f
(
x
) be a polynomial of degree 20. Which of the following functions has degree 10? >
f
^{10}
(
x
)
True
False
5.
Let
f
(
x
) = cos
x
. Then f
^{(99)}
(
x
) = > sin
x
True
False
6.
Which of the following functions is decreasing and concave up? >
True
False
7.
Which of the following functions has both
f
' and
f
" positive? >
True
False
8.
Which of the following functions has a positive first derivative and a negative second derivative? >
True
False
9.
Assume that
f
and
f
' are differentiable. If
f
' is increasing, then which of the following must be true? >
f
is increasing.
True
False
10.
Which of the following functions has no concavity? >
True
False
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