`y=tan^(-1)((3x-x^(3))/(1-3x^(2)))` का अवकलन x के सापेक्ष ज्ञात कीजिए, जबकि
`xgt1/3`

Explanation

`xgt1/(sqrt3)`
`rArrtanthetalt1/(sqrt3)`
`rArr1/(sqrt3)lttanthetaltoo`
`rArrpi/6ltthetaltpi/2`
`rArrpi/2lt3thetalt(3pi)/2`
`rArr-pi/2lt3theta-piltpi/2`
`thereforey=tan^(-1)(tan3theta)`
`rArry=tan^(-1)[tan(3theta-pi)]`
`rArry=3theta-pi`
`y=3tan^(-1)x-pi`
`therefore(dy)/(dx)=3/(1+x^(2))-0`
`rArr(dy)/(dx)=3/(1+x^(2))`