Alternative Equation Formats

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MathML

\begin{aligned} \frac{\partial}{\partial β} S S E = & \frac{\partial}{\partial β} (Y^{'} Y - 2 Y^{'} X β + β^{'} X^{'} X β) \\ = & 0 - 2 X^{'} Y + 2 X^{'} X β \\ \frac{\partial^{2}}{\partial β \partial β} S S E = & X^{'} X \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \frac{\partial }{\partial \bbeta } \mr{SSE} =& \, \, \frac{\partial }{\partial \bbeta } ( \bY '\bY - 2\bY '\bX \bbeta + \bbeta '\bX '\bX \bbeta ) \\ =& \, \, \mb{0} - 2\bX '\bY + 2\bX '\bX \bbeta \\ \frac{\partial ^2}{\partial \bbeta \partial \bbeta } \mr{SSE} =& \, \, \bX '\bX \end{align*}