Home
Class 11
MATHS
If y=x sin x then prove that (1)/(y)(dy)...

If `y=x sin x `then prove that `(1)/(y)(dy)/(dx)-(1)/(x)=cot x`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13F|20 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13G|10 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13D|24 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

If y=(sin x)/(1+cos x) then prove that (dy)/(dx)=(1)/(1+cosx)

If y=sin^(-1)x then prove that (1-x^(2))(d^(y))/(dx^(2))-x(dy)/(dx)=0

If y=(sin^(-1)x)^2 then prove that (1-x^(2))(d^2y)/(dx^2)-x(dy)/(dx)-2=0 .

If y=sin x*cos(2x) then prove that (dy)/(dx)=y[cot x-2tan2x]

If y=sin x*cos(2x) then prove that (dy)/(dx)=y[cot x-2tan2x]

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

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

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

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

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