Derivatives of Trigonometry and Logarithmic Functions
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the second derivative of
ln
(
x
)
\text{ln}(x)
ln
(
x
)
?
QUESTION
What is the derivative of
f
(
x
)
=
cos
(
x
)
+
ln
(
x
)
f(x) = \text{cos}(x) + \text{ln}(x)
f
(
x
)
=
cos
(
x
)
+
ln
(
x
)
?
QUESTION
What is the derivative of
f
(
x
)
=
sin
(
2
x
)
f(x) = \text{sin}(2x)
f
(
x
)
=
sin
(
2
x
)
?
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ANSWER
f
′
(
x
)
=
2
cos
(
2
x
)
f'(x) = 2\text{cos}(2x)
f
′
(
x
)
=
2
cos
(
2
x
)
. Apply chain rule: outer derivative times inner derivative.
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