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Function space/Differentiable/R/Subspace/Exercise
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Show that the subset
S
=
{
f
:
R
→
R
∣
f
differentiable
}
⊆
Map
(
R
,
R
)
{\displaystyle {}S={\left\{f:\mathbb {R} \rightarrow \mathbb {R} \mid f{\text{ differentiable}}\right\}}\subseteq \operatorname {Map} \,{\left(\mathbb {R} ,\mathbb {R} \right)}\,}
is a
linear subspace
.
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