If `sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2))` is independent of x, find the value of x

If `sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2))` is independen

1.	If `sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2))` is independent of x, find the value of x
Answer» `E = sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2))` `= sin^(-1) ((2 xx (x)/(2))/(((x)/(2))^(2) + 1)) -2 tan^(-1). (x)/(2)` `= 0` (For E to be independent of x) `rArr \|(x)/(2)\| le 1` or `\|x\| le 2 " or " -2 le x le 2`

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