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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
min
{
x
,
x
2
}
h(x) = \min\{x, x^2\}
h
(
x
)
=
min
{
x
,
x
2
}
for every real number
x
x
x
. Then, which one of the following is true? *[IIT JEE 1998]* a.
h
h
h
is not continuous for all
x
x
x
b.
h
h
h
is differentiable for all
x
x
x
c.
h
′
(
x
)
=
1
h'(x) = 1
h
′
(
x
)
=
1
for all
x
x
x
d.
h
h
h
is not differentiable at two values of
x
x
x
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