Home
Class 12
MATHS
y =x^2+(1)/(x^2 +(1)/(x^2+.....oo)) then...

`y =x^2+(1)/(x^2 +(1)/(x^2+.....oo))` then prove that `xdy/dx =(2xy^2)/(1+y^2).`

Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5j|14 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5k|12 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5h|26 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If y =x+(1)/(x +(1)/(x+.....oo)) then prove that xdy/dx =y/(2y -x).

If y=x^(x^(x...oo)) then prove that xdy/dx=(y^2)/(1-ylogx)

if y=x^(2)+(1)/(x^(2)+(1)/(x^(2)+............)) then prove that (dy)/(dx)=(2xy^(2))/(1+y^(2))

If y = x^(x ^(x^(x ^(x.... oo) then prove that x dy/dx = y^2/(1- y logx )

if y=tan^(-1)((2x)/(1-x^(2))) then prove that (dy)/(dx)=(2)/(1+x^(2))

If y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," prove that "(dy)/(dx)=(y)/((2y-x)).

If y=(1)/(x+(1)/(x+(1)/(x+...*+oo))) prove that (1+y^(2))(dy)/(dx)+y^(2)=0

if y= (sin ^(-1)x)/(sqrt(1-x^2)) then prove that (1-x)^2) .d/dx=xy+1

if y=x^2+1/(x^2+1/(x^2+1/(x^2+...............oo))) then (dy)/(dx)

If y=sin^(-1)(x/(sqrt(1+x^2)))+cos^(-1)(1/(sqrt(1+x^2))), 0