AP Calculus AB Quiz
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DIFFERENTIATION: COMPOSITE, IMPLICIT, AND INVERSE FUNCTIONS
Question 1
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For
f
(
x
)
=
sin
(
x
)
+
cos
(
x
)
f(x)=\sin(x)+\cos(x)
f
(
x
)
=
sin
(
x
)
+
cos
(
x
)
, what is the third derivative
f
(
3
)
(
x
)
f^{(3)}(x)
f
(
3
)
(
x
)
?
A
f
(
3
)
(
x
)
=
−
I
ˋ
o
s
(
x
)
+
s
i
n
(
x
)
f^{(3)}(x)=-Ìos(x)+ sin(x)
f
(
3
)
(
x
)
=
−
I
ˋ
os
(
x
)
+
s
in
(
x
)
B
f
(
3
)
(
x
)
=
I
ˋ
o
s
(
x
)
+
s
i
n
(
x
)
f^{(3)}(x)=Ìos(x)+ sin(x)
f
(
3
)
(
x
)
=
I
ˋ
os
(
x
)
+
s
in
(
x
)
C
f
(
3
)
(
x
)
=
−
s
i
n
(
x
)
−
I
ˋ
o
s
(
x
)
f^{(3)}(x)=- sin(x)-Ìos(x)
f
(
3
)
(
x
)
=
−
s
in
(
x
)
−
I
ˋ
os
(
x
)
D
f
(
3
)
(
x
)
=
s
i
n
(
x
)
−
I
ˋ
o
s
(
x
)
f^{(3)}(x)= sin(x)-Ìos(x)
f
(
3
)
(
x
)
=
s
in
(
x
)
−
I
ˋ
os
(
x
)
E
f
(
3
)
(
x
)
=
I
ˋ
o
s
(
x
)
−
s
i
n
(
x
)
f^{(3)}(x)=Ìos(x)- sin(x)
f
(
3
)
(
x
)
=
I
ˋ
os
(
x
)
−
s
in
(
x
)
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