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Problem
## EXERCISE 2.2 Write the following functions in the simplest form: 7.
tan
−
1
(
3
a
2
x
−
x
3
a
3
−
3
a
x
2
)
,
a
>
0
;
−
a
3
<
x
<
a
3
\tan ^{-1}\left(\frac{3 a^{2} x-x^{3}}{a^{3}-3 a x^{2}}\right), a>0 ; \frac{-a}{\sqrt{3}}<x<\frac{a}{\sqrt{3}}
tan
−
1
(
a
3
−
3
a
x
2
3
a
2
x
−
x
3
)
,
a
>
0
;
3
−
a
<
x
<
3
a
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