Chain Rule
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify
u
u
u
in
y
=
(
ln
(
x
)
)
4
y = (\text{ln}(x))^4
y
=
(
ln
(
x
)
)
4
.
QUESTION
Differentiate
f
(
x
)
=
ln
(
e
x
+
1
)
f(x) = \ln(e^x + 1)
f
(
x
)
=
ln
(
e
x
+
1
)
.
QUESTION
Differentiate
y
=
e
tan
(
x
)
y = e^{\tan(x)}
y
=
e
t
a
n
(
x
)
.
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ANSWER
sec
2
(
x
)
e
tan
(
x
)
\sec^2(x) e^{\tan(x)}
sec
2
(
x
)
e
t
a
n
(
x
)
. Chain rule:
e
u
×
u
′
e^u \times u'
e
u
×
u
′
where
u
=
tan
(
x
)
u = \tan(x)
u
=
tan
(
x
)
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