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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
{
x
2
+
3
x
,
x
≤
0
A
x
+
B
,
x
>
0
f(x)=\begin{cases}x^{2}+3x,&x\le 0\\ Ax+B,&x>0\end{cases}
f
(
x
)
=
{
x
2
+
3
x
,
A
x
+
B
,
x
≤
0
x
>
0
is differentiable at
x
=
0
x=0
x
=
0
. Determine the values of
A
A
A
and
B
B
B
.
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