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partial derivative of xsqrt(y)
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∂
∂
y
(
x
√
y
)
=
x
2
√
y
Show Steps
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∂
∂
y
(
x
√
y
)
=
x
2
√
y
steps
∂
∂
y
(
x
√
y
)
Treat
x
as
a
constant
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
x
∂
∂
y
(
√
y
)
Apply
radical
rule
:
√
a
=
a
1
2
=
x
∂
∂
y
(
y
1
2
)
Apply
the
Power
Rule
:
d
dx
(
x
a
)
=
a
·
x
a
−
1
=
x
1
2
y
1
2
−
1
show steps
Simplify
x
1
2
y
1
2
−
1
:
x
2
√
y
=
x
2
√
y
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