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derivative of xsinx
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d
dx
(
x
sin
(
x
)
)
=
sin
(
x
)
+
x
cos
(
x
)
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d
dx
(
x
sin
(
x
)
)
=
sin
(
x
)
+
x
cos
(
x
)
steps
d
dx
(
x
sin
(
x
)
)
Apply
the
Product
Rule
:
(
f
·
g
)
′
=
f
′
·
g
+
f
·
g
′
f
=
x
,
g
=
sin
(
x
)
=
dx
dx
sin
(
x
)
+
d
dx
(
sin
(
x
)
)
x
show steps
dx
dx
=
1
show steps
d
dx
(
sin
(
x
)
)
=
cos
(
x
)
=
1
·
sin
(
x
)
+
cos
(
x
)
x
Simplify
=
sin
(
x
)
+
x
cos
(
x
)
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