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partial derivative of e^xcos(y)
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∂
∂
x
(
e
x
cos
(
y
)
)
=
cos
(
y
)
e
x
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∂
∂
x
(
e
x
cos
(
y
)
)
=
cos
(
y
)
e
x
steps
∂
∂
x
(
e
x
cos
(
y
)
)
Treat
y
as
a
constant
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
cos
(
y
)
∂
∂
x
(
e
x
)
Apply
the
common
derivative
:
∂
∂
x
(
e
x
)
=
e
x
=
cos
(
y
)
e
x
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