Introducing Calculus
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the derivative of
f
(
x
)
=
5
x
3
−
4
x
+
7
f(x) = 5x^3 - 4x + 7
f
(
x
)
=
5
x
3
−
4
x
+
7
.
QUESTION
Find the derivative of
f
(
x
)
=
ln
(
x
)
f(x) = \text{ln}(x)
f
(
x
)
=
ln
(
x
)
.
QUESTION
Identify the derivative of
f
(
x
)
=
1
sin
(
x
)
f(x) = \frac{1}{\text{sin}(x)}
f
(
x
)
=
sin
(
x
)
1
.
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ANSWER
f
′
(
x
)
=
−
cos
(
x
)
sin
2
(
x
)
f'(x) = -\frac{\text{cos}(x)}{\text{sin}^2(x)}
f
′
(
x
)
=
−
sin
2
(
x
)
cos
(
x
)
. Rewrite as
csc
(
x
)
\csc(x)
csc
(
x
)
and use the derivative formula.
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