Delta derivative of squaring function
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Theorem
Let $\mathbb{T}$ be a time scale. The following formula holds for $f \colon \mathbb{T} \rightarrow \mathbb{R}$ defined by $f(t)=t^2$: $$f^{\Delta}(t)=t \sigma(t),$$ where $f^{\Delta}$ denotes the delta derivative and $\sigma$ denotes the forward jump.
