4th root of 81-8 3rd root216+15 5th root32 + root 225
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1
Step-by-step explanation:
y
=
2
x
+
5
3
x
−
2
Differentiate using the Quotient Rule which states that
d
d
x
[
f
(
x
)
g
(
x
)
]
is
g
(
x
)
d
d
x
[
f
(
x
)
]
−
f
(
x
)
d
d
x
[
g
(
x
)
]
g
(
x
)
2
where
f
(
x
)
=
2
x
+
5
and
g
(
x
)
=
3
x
−
2
.
(
3
x
−
2
)
d
d
x
[
2
x
+
5
]
−
(
2
x
+
5
)
d
d
x
[
3
x
−
2
]
(
3
x
−
2
)
2
Differentiate.
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2
(
3
x
−
2
)
−
3
(
2
x
+
5
)
(
3
x
−
2
)
2
Simplify.
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−
19
(
3
x
−
2
)
2
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