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Computing Derivatives
Home
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Calculus
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Computing Derivatives
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Module Quizzes
/
Embrace Your Inner Calculator True or False Quiz
Module Quizzes
/
Embrace Your Inner Calculator True or False Quiz
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Computing Derivatives: Embrace Your Inner Calculator True or False
1.
Let
f
(
x
) = 4
g
(
x
). If
g '
(
x
) = 2
x
, what is the derivative of
f
(
x
)?
>
f '
(
x
) = 2
x
True
False
2.
Which of the following expressions is not equivalent to the others? >
(log
_{3}
x
)
^{2}
True
False
3.
Find the derivative of
f
(
x
) = log
_{7}
x
+ 7
^{x}
. >
True
False
4.
Find the derivative of
f
(
x
) = log
_{3 }
x
– cos
x
. >
True
False
5.
The "product rule" states that the derivative of the function
f
·
g
is >
f 'g
+
fg '
True
False
6.
Find the derivative of
f
(
x
) = sin
x
cos
x
.
>
sin
^{2}
x
True
False
7.
The "quotient rule" states that the derivative of the function
is equal to
>
True
False
8.
Find the derivative of the function
>
True
False
9.
The derivative of cot
x
is
>
csc
^{2}
x
True
False
10.
Finding the derivative of the function
without rewriting the function first, requires
> one use of the product rule and two uses of the quotient rule
True
False
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