Home
Class 12
MATHS
If y=cos^(-1)((x-x^(-1))/(x+x^(-1))), th...

If `y=cos^(-1)((x-x^(-1))/(x+x^(-1))),` then `(dy)/(dx)` is

Text Solution

Verified by Experts

The correct Answer is:
`(-2)/(1+x^2)`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5g|12 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5h|26 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5e|19 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If y=cos^(-1)((sqrt(x)-1)/(sqrt(x)+1))+cosec^(-1)((sqrt(x)+1)/(sqrt(x)-1)) , then (dy)/(dx) is equal to

If y=sin^(-1)(x/2)+cos^(-1)(x/2) then (dy)/(dx)=

If y= (1+(1)/(x) )^(x) + x^(1+(1)/(x)) then find (dy)/(dx)

If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5) , find (dy)/(dx)

If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

If y=sin^(-1)(cos x)+cos^(-1)(sin x) , prove that (dy)/(dx)=-2

If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

If y=[(x^2+1)/(x+1)] , then find (dy)/(dx) .

y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1 . find dy/dx

If y=tan^(-1)((1-x)/(1+x)) , find (dy)/(dx) .