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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
,
x
≤
1
2
x
−
1
,
x
>
1.
f(x)=\begin{cases}x^{2}, & x\le 1\\2x-1, & x>1.\end{cases}
f
(
x
)
=
{
x
2
,
2
x
−
1
,
x
≤
1
x
>
1.
Is
f
f
f
differentiable at
x
=
1
x=1
x
=
1
? Evaluate any necessary limit(s) and state your conclusion.
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