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

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

Text Solution

Verified by Experts

`y=sin^(-1)frac(2x)(1+x^2)`[Put x=`tantheta`
`sin^(-1)frac(2 tan theta)(1+tan^2theta)=sin^(-1)sin2theta`
`=2theta=2 tan^(-1)x`
`thereforedy/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)2xsqrt(1-x^2)

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

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

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

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

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

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