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Computing Derivatives
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Home
/
Calculus
/
Computing Derivatives
/
Module Flashcards
/
Embrace Your Inner Calculator Flashcards
TABLE OF CONTENTS
Intro
Topics
Examples
Exercises
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What's in a Slope?
Embrace Your Inner Calculator
True or False
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The Rules of the Game
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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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