Exercise Is Closed under Multiplication and Differentia$-$

tion$).$ Show that if $f,$ginS$(R),$ then the products $fg,x^{k}f(x)$ for all

$k0,$ and $e^{-2ix}f(x)$ for all $inR$ belong to $S(R).$ Show also that

the derivatives $f^{(l)}$ belong to $S(R),$ for all $l0.$

Our first examples of Schwartz functions are the compactly sup$-$

ported functions in $C^{}(R).$ DO NOT USE FKING CHAT GTP$!!!!!$ I NEED THIS FK QUESTION FK ANSWER $($CORRECT ANSWER!!$)$ I really want to quit your chegg VIP I send three question not even one is right