Home
Class 12
MATHS
Find (dy)/(dx) : x=a{cost+1/2logt a n^2t...

Find `(dy)/(dx)` : `x=a{cost+1/2logt a n^2t/2}` and `y=asint` .

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 and y are connected parametrically by the equations given, without eliminating the parameter, Find (dy)/(dx) . x=a(cost+logtan((t)/(2))), y=asint

Find (dy)/(dx) , if x=a t^2, y=2a t .

Find (dy)/(dx)if 2=(x+y)^2

Find (dy)/(dx) if 1+x^2+y^2=9

Find (dy)/(dx) , when x=a t^2 and y=2\ a t

Find dy/dx if x^2=y^2

Find dy/dx if x^2y-2y=x

Find (dy)/(dx), if y=12(1-cost), x=10(t-sint)

Find (dy)/(dx)\ if (x^2+y^2)^2=x y

Find (dy)/(dx) , when x=(1-t^2)/(1+t^2) and y=(2t)/(1+t^2)

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=e^(x^(e^x))+x^(e^(e^x))+e^(x^(x^e)) , prove that (dy)/(dx)=e^(x^(...

    Text Solution

    |

  2. If y=cosx^(cosx^(cosx^dotoo)) , prove that (dy)/(dx)=-(y^2tanx)/((1-yl...

    Text Solution

    |

  3. Find (dy)/(dx) : x=a{cost+1/2logt a n^2t/2} and y=asint .

    Text Solution

    |

  4. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

  5. If x=asec^3thetaa n dy=atan^3theta,fin d(dy)/(dx)a ttheta=pi/3dot

    Text Solution

    |

  6. Find (dy)/(dx) , when x=a\ cos^3t and y=at .

    Text Solution

    |

  7. If x=sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)=...

    Text Solution

    |

  8. If x=sin^(-1)((2t)/(1+t^2)) and y=tan^(-1)((2t)/(1-t^2)),t > 1. Prove ...

    Text Solution

    |

  9. If u=sin(mcos^(-1)x),v=cos(msin^(-1)x),p rov et h a t(d u)/(d v)=sqrt(...

    Text Solution

    |

  10. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  11. Find (dy)/(dx) , when x=a t^2 and y=2\ a t

    Text Solution

    |

  12. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

  13. Find (dy)/(dx) when x = a cos theta and y = b sin theta

    Text Solution

    |

  14. Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...

    Text Solution

    |

  15. Find (dy)/(dx) , when x=b\ sin^2theta and y=a\ cos^2theta

    Text Solution

    |

  16. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

  17. Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2

    Text Solution

    |

  18. Find (dy)/(dx), when x=(3a t)/(1+t^2)" and "y =(3a t^2)/(1+t^2)

    Text Solution

    |

  19. If x and y are connected parametrically by the equations given, witho...

    Text Solution

    |

  20. x=e^(theta)(theta+(1)/(theta)),y = e^(-theta)(theta-(1)/(theta))

    Text Solution

    |