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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
,
x
<
1
3
x
−
5
,
x
≥
1.
f(x)=\begin{cases}x^{2}-4, & x<1\\ 3x-5, & x\ge 1.\end{cases}
f
(
x
)
=
{
x
2
−
4
,
3
x
−
5
,
x
<
1
x
≥
1.
What is the value of
f
′
(
0
)
f'(0)
f
′
(
0
)
? a) The derivative does not exist at
x
=
0
x=0
x
=
0
b)
0
0
0
c)
3
3
3
d)
−
4
-4
−
4
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