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Mathematics
Mathematics
Problem
Consider the function
y
=
(
sin
(
3
x
2
+
1
)
)
5
y = \bigl(\sin(3x^2 + 1)\bigr)^5
y
=
(
sin
(
3
x
2
+
1
)
)
5
. a. (i) Find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
. b. (ii) Hence determine
d
2
y
d
x
2
\dfrac{d^2y}{dx^2}
d
x
2
d
2
y
and simplify the result completely.
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