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Problem
Problem
Let
f
(
x
)
=
x
−
1
x
2
f(x) = \frac{x-1}{x^2}
f
(
x
)
=
x
2
x
−
1
, then which of the following is correct? a.
f
(
x
)
f(x)
f
(
x
)
has minima but no maxima b.
f
(
x
)
f(x)
f
(
x
)
increases in the interval
(
0
,
2
)
(0, 2)
(
0
,
2
)
and decreases in the interval
(
−
∞
,
0
)
∪
(
2
,
∞
)
(-\infty, 0) \cup (2, \infty)
(
−
∞
,
0
)
∪
(
2
,
∞
)
c.
f
(
x
)
f(x)
f
(
x
)
can come down in
(
−
∞
,
0
)
∪
(
0
,
3
)
(-\infty, 0) \cup (0, 3)
(
−
∞
,
0
)
∪
(
0
,
3
)
d.
x
=
3
x = 3
x
=
3
is the point of inflection
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