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Mathematics
Mathematics
Problem
The ellipse
4
x
2
+
9
y
2
=
36
4x^{2}+9y^{2}=36
4
x
2
+
9
y
2
=
36
is given. Show that
d
2
y
d
x
2
=
−
4
(
9
y
2
+
4
x
2
)
81
y
3
.
\frac{d^{2}y}{dx^{2}}=-\frac{4\bigl(9y^{2}+4x^{2}\bigr)}{81y^{3}}.
d
x
2
d
2
y
=
−
81
y
3
4
(
9
y
2
+
4
x
2
)
.
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