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derivative of xsin(x+cos(x))
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d
dx
(
x
sin
(
x
)
+
cos
(
x
)
)
=
x
cos
(
x
)
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d
dx
(
x
sin
(
x
)
+
cos
(
x
)
)
=
x
cos
(
x
)
steps
d
dx
(
x
sin
(
x
)
+
cos
(
x
)
)
Apply
the
Sum
/
Difference
Rule
:
(
f
±
g
)
′
=
f
′
±
g
′
=
d
dx
(
x
sin
(
x
)
)
+
d
dx
(
cos
(
x
)
)
show steps
d
dx
(
x
sin
(
x
)
)
=
sin
(
x
)
+
x
cos
(
x
)
show steps
d
dx
(
cos
(
x
)
)
=
−
sin
(
x
)
=
sin
(
x
)
+
x
cos
(
x
)
−
sin
(
x
)
Simplify
=
x
cos
(
x
)
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