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Mathematics
Problem
Find the simplified derivative of
f
(
x
)
=
(
x
2
+
3
x
)
sin
x
x
3
f(x)=\dfrac{(x^{2}+3x)\sin x}{x^{3}}
f
(
x
)
=
x
3
(
x
2
+
3
x
)
sin
x
. a)
x
(
x
+
3
)
sin
x
−
(
x
+
6
)
cos
x
x
3
\dfrac{x(x+3)\sin x-(x+6)\cos x}{x^{3}}
x
3
x
(
x
+
3
)
sin
x
−
(
x
+
6
)
cos
x
b)
x
(
x
+
3
)
cos
x
+
(
x
+
6
)
sin
x
x
3
\dfrac{x(x+3)\cos x+(x+6)\sin x}{x^{3}}
x
3
x
(
x
+
3
)
cos
x
+
(
x
+
6
)
sin
x
c)
x
(
x
+
3
)
cos
x
−
(
x
+
6
)
sin
x
x
3
\dfrac{x(x+3)\cos x-(x+6)\sin x}{x^{3}}
x
3
x
(
x
+
3
)
cos
x
−
(
x
+
6
)
sin
x
d)
(
x
+
3
)
cos
x
−
(
x
+
6
)
sin
x
x
3
\dfrac{(x+3)\cos x-(x+6)\sin x}{x^{3}}
x
3
(
x
+
3
)
cos
x
−
(
x
+
6
)
sin
x
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