Calculus 1 Quiz
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DERIVATIVES: DEFINITION & RULES
Question 1
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What is the derivative of
f
(
x
)
=
tan
(
2
x
)
x
2
+
1
f(x) = \frac{\tan(2x)}{x^2+1}
f
(
x
)
=
x
2
+
1
t
a
n
(
2
x
)
?
A
2
sec
2
(
2
x
)
(
x
2
+
1
)
−
2
x
tan
(
2
x
)
(
x
2
+
1
)
2
\frac{2\sec^2(2x)(x^2+1) - 2x\tan(2x)}{(x^2+1)^2}
(
x
2
+
1
)
2
2
s
e
c
2
(
2
x
)
(
x
2
+
1
)
−
2
x
t
a
n
(
2
x
)
B
sec
2
(
2
x
)
(
x
2
+
1
)
−
2
x
tan
(
2
x
)
(
x
2
+
1
)
2
\frac{\sec^2(2x)(x^2+1) - 2x\tan(2x)}{(x^2+1)^2}
(
x
2
+
1
)
2
s
e
c
2
(
2
x
)
(
x
2
+
1
)
−
2
x
t
a
n
(
2
x
)
C
2
sec
2
(
2
x
)
2
x
\frac{2\sec^2(2x)}{2x}
2
x
2
s
e
c
2
(
2
x
)
D
2
x
tan
(
2
x
)
−
2
sec
2
(
2
x
)
(
x
2
+
1
)
(
x
2
+
1
)
2
\frac{2x\tan(2x) - 2\sec^2(2x)(x^2+1)}{(x^2+1)^2}
(
x
2
+
1
)
2
2
x
t
a
n
(
2
x
)
−
2
s
e
c
2
(
2
x
)
(
x
2
+
1
)
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