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Mathematics
Mathematics
Problem
The function
q
q
q
is defined by
q
(
x
)
=
{
x
,
x
≤
0
,
x
1
/
3
,
x
>
0.
q(x)= \begin{cases} x, & x\le 0,\\ x^{1/3}, & x>0. \end{cases}
q
(
x
)
=
{
x
,
x
1/3
,
x
≤
0
,
x
>
0.
Which statement about
q
′
(
0
)
q'(0)
q
′
(
0
)
is correct? a)
q
′
(
0
)
q'(0)
q
′
(
0
)
exists and equals
1
1
1
b)
q
′
(
0
)
q'(0)
q
′
(
0
)
does not exist c)
q
′
(
0
)
q'(0)
q
′
(
0
)
exists and equals
0
0
0
d)
q
′
(
0
)
q'(0)
q
′
(
0
)
exists and equals +\infty$
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