Home
Class 12
MATHS
If x y^2=1,p rov et h a t2(dy)/(dx)+y^3=...

If `x y^2=1,p rov et h a t2(dy)/(dx)+y^3=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

If x y=4,p rov et h a tx((dy)/(dx)+y^2)=3y

If x^ydoty^x=1,p rov et h a t(dy)/(dx)=-(y(y+xlogy)/(x(ylogx+x)

If y^3-y=2x ,p rov et h a t(d^2y)/(dx^2)=(-24 y)/((3y^2-1)^3)

If y=sqrt((1-x)/(1+x)),p rov et h a t(1-x^2)(dy)/(dx)+y=0

If (sin"x")^y=x+y ,p rov et h a t(dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsinx-1)

If y=xsin(a+y),p rov et h a t(dy)/(dx)=(sin^2(a+y))/(sin(a+y)-ycos(a+y))dot

If x ylog(x+y)=1,p rov e \ t h a t \ (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))dot

If x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot

If e^x+e^y=e^(x+y),p rov e t h a t(dy)/(dx)+e^(y-x)=0

If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2)/(1-x^2))

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following function tan^2x

    Text Solution

    |

  2. If x^ydoty^x=1,p rov et h a t(dy)/(dx)=-(y(y+xlogy)/(x(ylogx+x)

    Text Solution

    |

  3. If x y^2=1,p rov et h a t2(dy)/(dx)+y^3=0

    Text Solution

    |

  4. Find (dy)/(dx) in each of the following: e^(x-y)=log(x/y)

    Text Solution

    |

  5. Find (dy)/(dx) in each of the following: sinx y+cos(x+y)=1

    Text Solution

    |

  6. If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y), prove that (dy)/(dx)=sqrt((1-y^2)/(...

    Text Solution

    |

  7. If ysqrt(1-x^2)+xsqrt(1-y^2)=1," prove that "(dy)/(dx)= - sqrt((1-y^2)...

    Text Solution

    |

  8. Differentiate the following function with respect to x : cos^-1s...

    Text Solution

    |

  9. Differentiate the following function with respect to x : cos^(-1){...

    Text Solution

    |

  10. If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .

    Text Solution

    |

  11. Differentiate the following function with respect to x : sin^(-1...

    Text Solution

    |

  12. Differentiate the following function with respect to x : tan^(-1...

    Text Solution

    |

  13. If x=sin^(-1)[(2t)/(1+t^2)]'and'y=tan^(-1)((2t)/(1-t^2)), prove that d...

    Text Solution

    |

  14. If x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  15. Find (dy)/(dx), when x=cos^(-1)1/(sqrt(1+t^2))"and"y=sin^(-1)1/(sqrt(1...

    Text Solution

    |

  16. If x=2costheta-cos2theta"and"y=2sintheta-sin2theta" Prove that" (dy)/...

    Text Solution

    |

  17. If x=cost " and " y=sint ,"prove : "(dy)/(dx)=1/(sqrt(3))"at " t=(2pi)...

    Text Solution

    |

  18. Differentiate the following functions with respect to cos(logx)hat2

    Text Solution

    |

  19. Differentiate the following functions with respect to e^(a x)secxta...

    Text Solution

    |

  20. Differentiate the following functions with respect to x : (i)log(c...

    Text Solution

    |