Home
Class 12
MATHS
If cosy = xcos(a+y), with cos a ne +-1, ...

If `cosy = xcos(a+y)`, with `cos a ne +-1`, prove that `dy/dx = (cos^2(a+y))/sina`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

If sin y = x cos (a + y) , prove that (dy)/(dx) = (cos^2 (a + y))/(cos a)

If x cos (a+y) = cos y, then prove that dy/dx = (cos^2(a+y))/(sina) Hence, show that sina(d^2y)/(dx^2)+ sin 2(a+y) (dy)/(dx) = 0

If siny = xsin(a+y) , prove that dy/dx=sin^2(a+y)/sina

If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^2(a+y))/(sina)

If x cos (a + y)=cos y then prove that [dy/dx = cos^2 (a+ y) /sin a] . Hence show that [sin a (d^2y /dx^2) + sin 2(a+ y) dy/dx =0] .

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

Solve : dy/dx + 3y = cos x

If y = 2 cos x -6 sin x , prove that (d^2y)/(dx^2)+y = 0

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx for each of the following: y=(1/(1+x))(x^-2+2/x-1)+root3(...

    Text Solution

    |

  2. Find dy/dx for each of the following: y=root3(x^2(x^2+3))

    Text Solution

    |

  3. If cosy = xcos(a+y), with cos a ne +-1, prove that dy/dx = (cos^2(a+y...

    Text Solution

    |

  4. If sin y = x sin (a+y), then show that: dy/dx=(sina)/(1-2xcosa+x^2)

    Text Solution

    |

  5. Differentiate the following w.r.t. x: tan^-1sqrtx

    Text Solution

    |

  6. Differentiate the following w.r.t. x: cos^-1(x/(x+1))

    Text Solution

    |

  7. Differentiate the following w.r.t. x: sin^-1(xsqrtx),0lexle1

    Text Solution

    |

  8. Differentiate the following w.r.t. x: (tan^-1x)^2

    Text Solution

    |

  9. Differentiate the following w.r.t. x: x sec^-1x

    Text Solution

    |

  10. Differentiate the following w.r.t.x. cos^(-1) (sin x)

    Text Solution

    |

  11. Differentiate the following w.r.t. x: tan(sin^-1x)

    Text Solution

    |

  12. Differentiate the following w.r.t. x: sin^-1(2x)

    Text Solution

    |

  13. Differentiate the following w.r.t. x: (cot^-1x)^2

    Text Solution

    |

  14. Differentiate the following w.r.t. x: sin(2 sin^-1x)

    Text Solution

    |

  15. Differentiate the following w.r.t. x: x tan^-1x

    Text Solution

    |

  16. Differentiate the following w.r.t. x: tan^-1((sinx)/(1+cosx))

    Text Solution

    |

  17. Differentiate the following w.r.t. x: tan^-1((cosx)/(1+sinx))

    Text Solution

    |

  18. Differentiate the following w.r.t. x: cot^-1((1+cosx)/(sinx))

    Text Solution

    |

  19. Differentiate the following w.r.t. x: sin^-1(1-2x^2)

    Text Solution

    |

  20. Differentiate the following w.r.t. x: sin^-1(3x-4x^3), -1/2 < x < 1/...

    Text Solution

    |