Write the following function in the simplest form: `tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)), a >0;(-a)/(sqrt(3))lt=xlt=a/(sqrt(3))`

Write the following function in the simplest form: tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),a>0;(-a)/(sqrt(3))<=x<=(a)/(sqrt(3))

Write the following function in the simplest form : tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-1)/(sqrt(3))ltxlta/(sqrt(3))

Write the following function in the simplest form : tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-a)/(sqrt(3))ltxlta/(sqrt(3))

Write the following functions in the simplest form : tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-a)/sqrt3ltxlta/sqrt3

Write the following functions in the simplest form : tan^(-1)((3a^2x - x^3)/(a^3- 3ax^2)), a gt 0, -a/sqrt3 le x le a/sqrt3

Write the following in the simplest form: tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))

Write the following function in the simplest form : tan^-1 ((3a^2 x - x^3)/(a^3 - 3ax^2)), a>0, -a/sqrt3

Write the following functions in the simplest form : tan^(-1) (x/sqrt(a^2-x^2)), |x| lt a

Write the following function in the simplest form: tan^(-1)((sqrt(1+x^(2))-1)/(x)),x!=0