Chain rule in $\mathbb C(t)[W]/(W^2-h)$: $d\big(p(t)\big)=p'(t)\,dt$ for every polynomial $p$

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Chain rule in $\mathbb C(t)[W]/(W^2-h)$: $d\big(p(t)\big)=p'(t)\,dt$ for every polynomial $p$ · Prove2Me