ag.algebraic geometry - Tangent sheaf of $mathbb{P}^1timesmathbb{P}^1$

Hi guys!!I'm new in this forum. I have a simple question for you. Let $k$ an algebraically closed field. Consider $mathbb{P}^1timesmathbb{P}^1$ and $T_{mathbb{P}^1timesmathbb{P}^1}$ the tangent sheaf. How can I prove that $dim_k Gamma(mathbb{P}^1timesmathbb{P}^1,T_{mathbb{P}^1timesmathbb{P}^1})=6$???

Good...I'm so stupid...It's enough observe that $Omega_{Aotimes_R B/R}cong AotimesOmega_{B/R}oplusOmega_{A/R}otimes B$. Then dualize this and use the Euler sequence for $mathbb{P}^1$