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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
(
x
+
1
)
2
/
3
,
x
≤
−
1
,
sin
x
,
x
>
−
1.
f(x)=\begin{cases} (x+1)^{2/3}, & x\le -1,\\ \sin x, & x>-1. \end{cases}
f
(
x
)
=
{
(
x
+
1
)
2/3
,
sin
x
,
x
≤
−
1
,
x
>
−
1.
Determine whether
f
f
f
is differentiable at
x
=
−
1
x=-1
x
=
−
1
. Provide a brief statement of your conclusion.
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