evaluate d/dx ( x³ sinx)
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Popular Problems Calculus Find the Derivative - d/dx (x^3)/(sin(x))
x
3
sin
(
x
)
Differentiate using the Quotient Rule which states that
d
d
x
[
f
(
x
)
g
(
x
)
]
is
g
(
x
)
d
d
x
[
f
(
x
)
]
−
f
(
x
)
d
d
x
[
g
(
x
)
]
g
(
x
)
2
where
f
(
x
)
=
x
3
and
g
(
x
)
=
sin
(
x
)
.
sin
(
x
)
d
d
x
[
x
3
]
−
x
3
d
d
x
[
sin
(
x
)
]
sin
2
(
x
)
Differentiate using the Power Rule.
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Differentiate using the Power Rule which states that
d
d
x
[
x
n
]
is
n
x
n
−
1
where
n
=
3
.
sin
(
x
)
(
3
x
2
)
−
x
3
d
d
x
[
sin
(
x
)
]
sin
2
(
x
)
Move
3
to the left of
sin
(
x
)
.
3
⋅
sin
(
x
)
x
2
−
x
3
d
d
x
[
sin
(
x
)
]
sin
2
(
x
)
The derivative of
sin
(
x
)
with respect to
x
is
cos
(
x
)
.
3
sin
(
x
)
x
2
−
x
3
cos
(
x
)
sin
2
(
x
)
Reorder factors in
3
sin
(
x
)
x
2
−
x
3
cos
(
x
)
.
3
x
2
sin
(
x
)
−
x
3
cos
(
x
)
sin
2
(
x
)
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