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Mathematics
Problem
Let
y
=
(
3
x
+
2
)
4
y=(3x+2)^{4}
y
=
(
3
x
+
2
)
4
where
x
=
2
t
2
x=2t^{2}
x
=
2
t
2
. Find
d
y
d
t
\displaystyle \frac{dy}{dt}
d
t
d
y
when
t
=
1
s
t=1\,\text{s}
t
=
1
s
. a)
12
288
12\,288
12
288
b)
49
152
49\,152
49
152
c)
24
576
24\,576
24
576
d)
8
192
8\,192
8
192
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