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Mathematics
Mathematics
Problem
If
y
=
a
t
2
+
2
b
t
+
c
y = at^2 + 2bt + c
y
=
a
t
2
+
2
b
t
+
c
and
t
=
a
x
2
+
2
b
x
+
c
t = ax^2 + 2bx + c
t
=
a
x
2
+
2
b
x
+
c
, then
d
3
y
d
x
3
\frac{d^3 y}{dx^3}
d
x
3
d
3
y
equals a.
24
a
2
(
a
t
+
b
)
24a^2(at + b)
24
a
2
(
a
t
+
b
)
b.
24
a
(
a
x
+
b
)
2
24a(ax + b)^2
24
a
(
a
x
+
b
)
2
c.
24
a
(
a
t
+
b
)
2
24a(at + b)^2
24
a
(
a
t
+
b
)
2
d.
24
a
2
(
a
x
+
b
)
24a^2(ax + b)
24
a
2
(
a
x
+
b
)
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