Y=5x+6*1/2D/DX OF 5X+6*1/2
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Step-by-step explanation:
Calculus Examples
Popular Problems Calculus Find the Derivative - d/dx y=(x^2)/(5x^6-1)
y
=
x
2
5
x
6
−
1
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
)
=
x
2
and
g
(
x
)
=
5
x
6
−
1
.
(
5
x
6
−
1
)
d
d
x
[
x
2
]
−
x
2
d
d
x
[
5
x
6
−
1
]
(
5
x
6
−
1
)
2
Differentiate.
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2
(
5
x
6
−
1
)
x
−
30
x
2
x
5
(
5
x
6
−
1
)
2
Multiply
x
2
by
x
5
by adding the exponents.
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2
(
5
x
6
−
1
)
x
−
30
x
7
(
5
x
6
−
1
)
2
Simplify.
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−
20
x
7
+
2
x
(
5
x
6
−
1
)
2
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