Sketching Graphs of Functions and Derivatives
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the second derivative of
f
(
x
)
=
3
x
4
f(x) = 3x^4
f
(
x
)
=
3
x
4
?
QUESTION
Calculate
f
′
(
x
)
f'(x)
f
′
(
x
)
for
f
(
x
)
=
cos
(
x
)
f(x) = \text{cos}(x)
f
(
x
)
=
cos
(
x
)
.
QUESTION
Differentiate
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
.
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ANSWER
f
′
(
x
)
=
−
1
x
2
f'(x) = -\frac{1}{x^2}
f
′
(
x
)
=
−
x
2
1
. Rewrite as
x
−
1
x^{-1}
x
−
1
and apply power rule.
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