Question
Write the function in the simplest form: ${\tan ^{ - 1}}\left( {\frac{{3{a^2}x - {x^3}}}{{{a^3} - 3a{x^2}}}} \right),\;a > 0,\left( { - \frac{a}{{\sqrt 3 }} < x < \frac{a}{{\sqrt 3 }}} \right)$
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| $o$ | $a$ | $b$ | $c$ | $d$ |
| $a$ | $a$ | $a$ | $a$ | $a$ |
| $b$ | $a$ | $b$ | $c$ | $d$ |
| $c$ | $a$ | $c$ | $d$ | $b$ |
| $d$ | $a$ | $d$ | $b$ | $c$ |