1.

Differntiate the following functions by proper substitution.tan^(-1)[(2x)/(1-x^2)]

Answer»

Solution :`y=TAN^(-1)frac(2x)(1-X^2)`[Put x=`tan THETA`
`=tan^(-1)frac(2tantheta)(1-tan^2theta)=tan^(-1)(tan2theta)`
`2theta=2tan^(-1)x`
`dy/dx=2/(1+x^2)`


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