Home
Class 12
MATHS
If y = x siny, prove that x.dy/dx = y / ...

If `y = x siny`, prove that `x.dy/dx = y / (1 - x cosy)`

Text Solution

Verified by Experts

Y = x sin y , differentiationg both the sides w.r.t x
` (dy)/(dx) = x cos y (dy)/(dx) + sin y d/(dx) (x)`
` (dy)/(dx) (1- x cos y) = sin y `
`(dy)/(dx) = ( sin y)/( 1- x cos y) Rightarrow (dy)/(dx) = y/(x (1 -x cos y)) Rightarrow (xdy)/(dx) =y /(1- x cosy ) `
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Try youself|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Assignment ( section -A)|61 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If y =(x)/(x+5) then prove that x (dy)/(dx)=y(1-y)

If y=x tan^(-1)(x/y) then prove that dy/dx=y/x

If y=(x)/(x+4) , prove that x(dy)/(dx)+y(y-1)=0

If ye^(y)=x, prove that,(dy)/(dx)=(y)/(x(1+y))

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

If x = e^(x//y) , then prove that (dy)/(dx) = (x-y)/(xlogx) .

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