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Mathematics
Mathematics
Problem
Let
y
y
y
be defined implicitly by
tan
y
+
x
y
2
=
x
\tan y+x y^{2}=x
tan
y
+
x
y
2
=
x
. Calculate
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at the point
(
1
,
0
)
(1,0)
(
1
,
0
)
. a)
2
2
2
b)
0
0
0
c)
−
2
-2
−
2
d)
−
1
-1
−
1
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