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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
{
sin
x
x
,
x
≠
0
1
,
x
=
0
f(x)=\begin{cases}\dfrac{\sin x}{x}, & x\neq0\\1, & x=0\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
sin
x
,
1
,
x
=
0
x
=
0
determine
f
′
(
0
)
f'(0)
f
′
(
0
)
. a)
1
1
1
b) Does not exist c)
0
0
0
d)
−
1
6
-\dfrac{1}{6}
−
6
1
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