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Mathematics
Mathematics
Problem
Define
p
(
x
)
=
{
x
3
+
2
x
,
x
≤
0
,
c
x
+
d
,
x
>
0
p(x)= \begin{cases} x^{3}+2x,& x\le 0,\\ cx+d,& x>0 \end{cases}
p
(
x
)
=
{
x
3
+
2
x
,
c
x
+
d
,
x
≤
0
,
x
>
0
Find the constants
c
c
c
and
d
d
d
such that
p
p
p
is differentiable for all real numbers.
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