Derivative Notation
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the derivative of
f
(
x
)
=
ln
(
x
2
)
f(x) = \text{ln}(x^2)
f
(
x
)
=
ln
(
x
2
)
.
QUESTION
What does
D
x
[
f
(
x
)
]
D_x[f(x)]
D
x
[
f
(
x
)]
represent?
QUESTION
What is the derivative of
f
(
x
)
=
sin
2
(
x
)
f(x) = \text{sin}^2(x)
f
(
x
)
=
sin
2
(
x
)
?
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ANSWER
f
′
(
x
)
=
2
sin
(
x
)
cos
(
x
)
f'(x) = 2\text{sin}(x)\text{cos}(x)
f
′
(
x
)
=
2
sin
(
x
)
cos
(
x
)
. Chain rule with power of sine function.
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