Calculus 1 Quiz
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DERIVATIVES: COMPOSITE, IMPLICIT & INVERSE
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If
y
=
arctan
(
x
)
y = \arctan(x)
y
=
arctan
(
x
)
, find an expression for
d
2
y
d
x
2
\frac{d^2y}{dx^2}
d
x
2
d
2
y
.
A
−
2
x
1
+
x
2
-\frac{2x}{1+x^2}
−
1
+
x
2
2
x
B
1
(
1
+
x
2
)
2
\frac{1}{(1+x^2)^2}
(
1
+
x
2
)
2
1
C
−
2
x
(
1
+
x
2
)
2
-\frac{2x}{(1+x^2)^2}
−
(
1
+
x
2
)
2
2
x
D
−
1
(
1
+
x
2
)
2
-\frac{1}{(1+x^2)^2}
−
(
1
+
x
2
)
2
1
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