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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
Find dydx, ...
Question
Find
d
y
d
x
, if
x
2
+
x
y
+
y
2
=
100
.
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Solution
Given
x
2
+
x
y
+
y
2
=
100
Differentiating both sides, we get
2
x
+
x
y
′
+
y
+
2
y
y
′
=
0
(
2
x
+
y
)
+
(
x
+
2
y
)
y
′
=
0
y
′
=
−
x
+
2
y
x
+
2
y
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