Home
Class 12
MATHS
Differntiate the following functions by ...

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

Text Solution

Verified by Experts

`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)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

  • DETERMINATES

    MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

Similar Questions

Explore conceptually related problems

Differntiate the following functions by proper substitution. sin^(-1)((2x)/(1+x^2))

Differntiate the following functions by proper substitution. sin^(-1)2xsqrt(1-x^2)

Differntiate the following functions by proper substitution. cos^(-1)(2t^2-1)

Differntiate the following functions by proper substitution. tan^(-1)sqrt((1-t)/(1+t))

Differntiate the following functions by proper substitution. cos^(-1)((1-t^2)/(1+t^2))

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

Differntiate the following functions by proper substitution. sin^(-1)((2sqrt(t^2-1))/t^2)

Differntiate the following functions by proper substitution. sec^(-1)(sqrt(a^2+x^2)/a)

Differntiate the following functions by proper substitution. tan^(-1)frac(sqrtx+sqrta)(1-sqrtxa)