This is LaTeX code:
[latex]
f\left( {x_1 } \right) \approx \left( {x_1 - \frac{d} {{\sqrt 2 }}} \right) + \frac{d} {{4\sqrt 2 }}\left( {x - \frac{d} {{\sqrt 2 }}} \right)^2 + \frac{{d^2 }} {{16}}\left( {x - \frac{d} {{\sqrt 2 }}} \right)^3
[/latex]