Introducing Calculus
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Differentiate
f
(
x
)
=
arccsc
(
x
)
f(x) = \text{arccsc}(x)
f
(
x
)
=
arccsc
(
x
)
.
QUESTION
Identify the derivative of
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
.
QUESTION
What is the derivative of
f
(
x
)
=
a
x
f(x) = a^x
f
(
x
)
=
a
x
, where
a
>
0
a > 0
a
>
0
?
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ANSWER
f
′
(
x
)
=
a
x
ln
(
a
)
f'(x) = a^x \text{ln}(a)
f
′
(
x
)
=
a
x
ln
(
a
)
. For exponential with base
a
a
a
, multiply by
ln
(
a
)
\ln(a)
ln
(
a
)
.
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