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Mathematics
Problem
f
(
x
)
=
∣
x
2
−
3
∣
x
∣
+
2
∣
f(x)=|x^2-3|x|+2|
f
(
x
)
=
∣
x
2
−
3∣
x
∣
+
2∣
. Then which of the following is/are true? (a)
f
′
(
x
)
=
2
x
−
3
f'(x)=2x-3
f
′
(
x
)
=
2
x
−
3
for
x
∈
(
0
,
1
)
∪
(
2
,
∞
)
x\in(0,1)\cup(2,\infty)
x
∈
(
0
,
1
)
∪
(
2
,
∞
)
(b)
f
′
′
(
x
)
=
2
x
+
3
f''(x)=2x+3
f
′′
(
x
)
=
2
x
+
3
for
x
∈
(
−
∞
,
−
2
)
∪
(
−
1
,
0
)
x\in(-\infty,-2)\cup(-1,0)
x
∈
(
−
∞
,
−
2
)
∪
(
−
1
,
0
)
(c)
f
′
(
x
)
=
−
2
x
−
3
f'(x)=-2x-3
f
′
(
x
)
=
−
2
x
−
3
for
x
∈
(
−
2
,
−
1
)
x\in(-2,-1)
x
∈
(
−
2
,
−
1
)
(d) None of these
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