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derivative of x^2cos(x)
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d
dx
(
x
2
cos
(
x
)
)
=
2
x
cos
(
x
)
−
x
2
sin
(
x
)
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d
dx
(
x
2
cos
(
x
)
)
=
2
x
cos
(
x
)
−
x
2
sin
(
x
)
steps
d
dx
(
x
2
cos
(
x
)
)
Apply
the
Product
Rule
:
(
f
·
g
)
′
=
f
′
·
g
+
f
·
g
′
f
=
x
2
,
g
=
cos
(
x
)
=
d
dx
(
x
2
)
cos
(
x
)
+
d
dx
(
cos
(
x
)
)
x
2
show steps
d
dx
(
x
2
)
=
2
x
show steps
d
dx
(
cos
(
x
)
)
=
−
sin
(
x
)
=
2
x
cos
(
x
)
+
(
−
sin
(
x
)
)
x
2
Simplify
=
2
x
cos
(
x
)
−
x
2
sin
(
x
)
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