Alternative Equation Formats

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MathML

\begin{aligned} \frac{\partial}{\partial β} c_{1} A = & c_{1} {\dot{A}}_{β} \\ \frac{\partial}{\partial β} (A + B) = & {\dot{A}}_{β} + {\dot{B}}_{β} \\ \frac{\partial}{\partial β} (c_{1} A + c_{2} B) = & c_{1} {\dot{A}}_{β} + c_{2} {\dot{B}}_{β} \\ \frac{\partial}{\partial β} A B = & A {\dot{B}}_{β} + {\dot{A}}_{β} B \\ \frac{\partial}{\partial β} t r a c e (A) = & t r a c e ({\dot{A}}_{β}) \\ \frac{\partial}{\partial β} t r a c e (A B) = & t r a c e (A {\dot{B}}_{β}) + t r a c e ({\dot{A}}_{β} B) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \frac{\partial }{\partial \beta } c_1\bA =& \, \, c_1\dot{\bA }_\beta \\ \frac{\partial }{\partial \beta } (\bA + \bB ) =& \, \, \dot{\bA }_\beta + \dot{\bB }_\beta \\ \frac{\partial }{\partial \beta } (c_1\bA + c_2\bB ) =& \, \, c_1\dot{\bA }_\beta + c_2\dot{\bB }_\beta \\ \frac{\partial }{\partial \beta } \bA \bB =& \, \, \bA \dot{\bB }_\beta + \dot{\bA }_\beta \bB \\ \frac{\partial }{\partial \beta } \mr{trace}(\bA )=& \, \, \mr{trace}\left(\dot{\bA }_\beta \right) \\ \frac{\partial }{\partial \beta } \mr{trace}(\mb{AB})=& \, \, \mr{trace}\left(\bA \dot{\bB }_\beta \right) + \mr{trace}\left(\dot{\bA }_\beta \bB \right) \\ \end{align*}