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partial derivative of cos(x-y)
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∂
∂
x
(
cos
(
x
−
y
)
)
=
−
sin
(
x
−
y
)
Show Steps
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∂
∂
x
(
cos
(
x
−
y
)
)
=
−
sin
(
x
−
y
)
steps
∂
∂
x
(
cos
(
x
−
y
)
)
Treat
y
as
a
constant
show steps
Apply
the
chain
rule
:
−
sin
(
x
−
y
)
∂
∂
x
(
x
−
y
)
=
−
sin
(
x
−
y
)
∂
∂
x
(
x
−
y
)
show steps
∂
∂
x
(
x
−
y
)
=
1
=
−
sin
(
x
−
y
)
·
1
Simplify
=
−
sin
(
x
−
y
)
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