Home
Class 12
MATHS
Differentiate (x)/(sin x) w.r.t sin x...

Differentiate `(x)/(sin x)` w.r.t sin x

Text Solution

Verified by Experts

The correct Answer is:
`(tan x -x)/(sin^(2)x)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Long Answer Type Questions)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Objective Type Questions)|28 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Differentiate x^(sin x), x gt 0 w.r.t x

Differentiate (sin x)^(cos x)

Differentiate sin^(2)x w.r.t e^(cos x)

Differentiate the following w.r.t.x. sin^(3)x

Differentiate w.r.t x x^(4)(5sin x-3 cos x)

Differentiate the following w.r.t.x. sin^(-1)((2^(x+1))/(1+4^(x)))

Differentiate the following w.r.t.x. sin(msin^(-1)x),|x|lt1

Differentiate a^(x) w.r.t x, where a is a positive constant

Differentiate the following w.r.t.x. sin^(-1)((a+bcosx)/(b+acosx)),bgtagt1

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Short Answer Type Questions)
  1. Find (dy)/(dx): x=a sin 2t (1+ cos 2t) and y= b cos 2t (1-cos 2t) ...

    Text Solution

    |

  2. If x= 3 sin t- sin (3t), y= 3 cos t- cos 3t, then find ((dy)/(dx)) " ...

    Text Solution

    |

  3. Differentiate (x)/(sin x) w.r.t sin x

    Text Solution

    |

  4. Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t tan^(-1)x, where ...

    Text Solution

    |

  5. Find (dy)/(dx) when x and y are connected by the relation given: si...

    Text Solution

    |

  6. Find (dy)/(dx) when x and y are connected by the relation given: se...

    Text Solution

    |

  7. Find (dy)/(dx) when x and y are connected by the relation given: ta...

    Text Solution

    |

  8. Find (dy)/(dx) when x and y are connected by the relation given: (x...

    Text Solution

    |

  9. If ax^(2) + 2hxy + by^(2) + 2gx + 2f y + c = 0, then show that (dy)/(d...

    Text Solution

    |

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

    Text Solution

    |

  11. If y^(x)= e^(y-x), then prove that (dy)/(dx)= ((1+ log y)^(2))/(log y)

    Text Solution

    |

  12. If y= (cos x)^((cos x)^((cos x)……oo)), then show that (dy)/(dx)= (y^(2...

    Text Solution

    |

  13. If x sin (a + y) + sin a cos (a + y)= 0, then prove that (dy)/(dx)= (s...

    Text Solution

    |

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

    Text Solution

    |

  15. If y= tan^(-1)x, then find (d^(2)y)/(dx^(2)) in terms of y alone.

    Text Solution

    |

  16. Verify the Rolle's theorem for each of the function in following quest...

    Text Solution

    |

  17. Verify the Rolle's theorem for each of the function in following quest...

    Text Solution

    |

  18. Verify the Rolle's theorem for each of the function in following quest...

    Text Solution

    |

  19. Verify the Rolle's theorem for each of the function in following quest...

    Text Solution

    |

  20. Verify the Rolle's theorem for each of the function in following quest...

    Text Solution

    |