Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcl} \frac{d l}{d α} & = & \frac{1}{c} \frac{d c}{d α} = \sum_{j = 1}^{4} \frac{1}{f_{j}} \frac{d f_{j}}{d α} + \frac{d \sum_{k} \log (- ϕ^{'} (u_{k}))}{d α} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \frac{dl}{d\alpha } & =& \frac{1}{c}\frac{dc}{d\alpha }=\sum _{j=1}^{4}\frac{1}{f_{j}}\frac{df_{j}}{d\alpha }+\frac{d\sum _{k}\log \left( -\phi ^{\prime }\left( u_{k}\right) \right) }{d\alpha } \end{eqnarray*}