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partial derivative of sqrt(2x^2+e^{2y)}
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∂
∂
x
(
√
2
x
2
+
e
2
y
)
=
2
x
√
2
x
2
+
e
2
y
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∂
∂
x
(
√
2
x
2
+
e
2
y
)
=
2
x
√
2
x
2
+
e
2
y
steps
∂
∂
x
(
√
2
x
2
+
e
2
y
)
Treat
y
as
a
constant
show steps
Apply
the
chain
rule
:
1
2
√
2
x
2
+
e
2
y
∂
∂
x
(
2
x
2
+
e
2
y
)
=
1
2
√
2
x
2
+
e
2
y
∂
∂
x
(
2
x
2
+
e
2
y
)
show steps
∂
∂
x
(
2
x
2
+
e
2
y
)
=
4
x
=
1
2
√
2
x
2
+
e
2
y
·
4
x
show steps
Simplify
1
2
√
2
x
2
+
e
2
y
·
4
x
:
2
x
√
2
x
2
+
e
2
y
=
2
x
√
2
x
2
+
e
2
y
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