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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
+
1
x
f(x)=x^{2}+\dfrac{1}{x}
f
(
x
)
=
x
2
+
x
1
. Which of the following correctly gives
f
′
(
x
)
f'(x)
f
′
(
x
)
and its domain? a)
f
′
(
x
)
=
2
x
+
1
x
2
f'(x)=2x+\dfrac{1}{x^{2}}
f
′
(
x
)
=
2
x
+
x
2
1
, domain
x
≠
0
x\neq 0
x
=
0
b)
f
′
(
x
)
=
2
x
−
1
x
2
f'(x)=2x-\dfrac{1}{x^{2}}
f
′
(
x
)
=
2
x
−
x
2
1
, domain
x
≠
0
x\neq 0
x
=
0
c)
f
′
(
x
)
=
2
x
−
1
x
f'(x)=2x-\dfrac{1}{x}
f
′
(
x
)
=
2
x
−
x
1
, domain
x
≠
0
x\neq 0
x
=
0
d)
f
′
(
x
)
=
2
x
−
1
x
2
f'(x)=2x-\dfrac{1}{x^{2}}
f
′
(
x
)
=
2
x
−
x
2
1
, domain
x
>
0
x>0
x
>
0
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