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partial derivative of 2x^2
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∂
∂
x
(
2
x
2
)
=
4
x
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∂
∂
x
(
2
x
2
)
=
4
x
steps
∂
∂
x
(
2
x
2
)
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
2
∂
∂
x
(
x
2
)
Apply
the
Power
Rule
:
d
dx
(
x
a
)
=
a
·
x
a
−
1
=
2
·
2
x
2
−
1
Simplify
=
4
x
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