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Draw the graph of y=tan^(-1)((3x-x^(3))/...

Draw the graph of `y=tan^(-1)((3x-x^(3))/(1-3x^(2)))`.

Text Solution

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The correct Answer is:
`y = tan^(-1) ((3x-x^(3))/(1-3x^(2)))={{:(3 tan^(-1)x,;,1/sqrt3 lt x lt 1/sqrt3),(pi + 3 tan^(-1)x,;,-infty lt x lt - 1/sqrt3),(-pi + 3 tan^(-1) x,;,1/sqrt3 lt xlt infty):}`
Graph of ` y = tan^(-1) ((3x-x^(3))/(1 - 3x^(2)))`
`(##ARH_AMA_TRI_C04_E07_002_A01##)`
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