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Mathematics
Problem
After differentiating the relation
x
2
+
x
y
+
y
2
=
k
x^{2}+xy+y^{2}=k
x
2
+
x
y
+
y
2
=
k
with respect to
x
x
x
, which of the following correctly gives
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
? a)
2
x
+
y
x
+
2
y
\dfrac{2x+y}{x+2y}
x
+
2
y
2
x
+
y
b)
−
x
+
2
y
2
x
+
y
-\dfrac{x+2y}{2x+y}
−
2
x
+
y
x
+
2
y
c)
−
2
x
+
y
x
+
2
y
-\dfrac{2x+y}{x+2y}
−
x
+
2
y
2
x
+
y
d)
−
2
x
x
+
2
y
-\dfrac{2x}{x+2y}
−
x
+
2
y
2
x
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