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Mathematics
Mathematics
Problem
If
f
(
x
)
=
3
(
2
x
+
3
)
2
/
3
+
2
x
+
3
f(x) = 3(2x+3)^{2/3} + 2x+3
f
(
x
)
=
3
(
2
x
+
3
)
2/3
+
2
x
+
3
, then a.
f
(
x
)
f(x)
f
(
x
)
is continuous but not differentiable at
x
=
−
3
2
x = -\frac{3}{2}
x
=
−
2
3
b.
f
(
x
)
f(x)
f
(
x
)
is differentiable at
x
=
0
x = 0
x
=
0
c.
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
0
x = 0
x
=
0
d.
f
(
x
)
f(x)
f
(
x
)
is differentiable but not continuous at
x
=
−
3
2
x = -\frac{3}{2}
x
=
−
2
3
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