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Mathematics
Problem
Let
f
(
x
)
=
(
x
2
+
1
)
2
x
3
f(x)=\dfrac{(x^{2}+1)^{2}}{x^{3}}
f
(
x
)
=
x
3
(
x
2
+
1
)
2
for
x
≠
0
x\neq 0
x
=
0
. Which of the following is
f
′
(
x
)
f'(x)
f
′
(
x
)
? a)
1
−
2
x
2
+
3
x
4
1-\dfrac{2}{x^{2}}+\dfrac{3}{x^{4}}
1
−
x
2
2
+
x
4
3
b)
1
−
2
x
2
−
3
x
4
1-\dfrac{2}{x^{2}}-\dfrac{3}{x^{4}}
1
−
x
2
2
−
x
4
3
c)
1
−
2
x
2
1-\dfrac{2}{x^{2}}
1
−
x
2
2
d)
1
+
2
x
2
−
3
x
4
1+\dfrac{2}{x^{2}}-\dfrac{3}{x^{4}}
1
+
x
2
2
−
x
4
3
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