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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
2
x
+
1
,
x
<
3
x
2
−
5
,
x
≥
3
f(x)=\begin{cases}2x+1,& x<3\\ x^{2}-5,& x\ge 3\end{cases}
f
(
x
)
=
{
2
x
+
1
,
x
2
−
5
,
x
<
3
x
≥
3
Determine whether
f
′
(
3
)
f'(3)
f
′
(
3
)
exists. State the value if it exists, or indicate that it does not exist.
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