Home
Class 12
MATHS
If y = x . tan y, then dy/dx =...

If y = x . tan y, then dy/dx =

A

`(tany)/(x-x^(2)-y^(2))`

B

`(y)/(x-x^(2)-y^(2))`

C

`(tany)/(x+x^(2)+y^(2))`

D

`(tanx)/(x-y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If y = log (sec x + tan x), then dy/dx =

y = tan^(-1) (sec x - tan x) , then dy/dx =

If sin y = x. sin (a + y) then dy/dx =

If y = tan^(-1) (sec x - tanx) then dy/dx =

If y =(sin x)^(tan x) , then dy/dx =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. (d)/(dx)((x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log(x+sqrt(x^(2)+a^(2))))...

    Text Solution

    |

  2. If y = f((2x-1)/(x^(2)+1)) and f^(')(x) = sin x^(2), then dy/dx =

    Text Solution

    |

  3. If y = x . tan y, then dy/dx =

    Text Solution

    |

  4. The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...

    Text Solution

    |

  5. If y = sqrt(tanx+sqrt(tan+sqrt(tanx+......,)))then dy/dx =

    Text Solution

    |

  6. If y = 2^(ax) and dy/dx = log 256 at x =1, then the value of a is

    Text Solution

    |

  7. If x^(y) = log x, the value of dy/dx at x = e is

    Text Solution

    |

  8. d/dx {(cosx + sinx)/(cos x - sin x)} =

    Text Solution

    |

  9. If f(x) = |x|, then f^(')(0) =

    Text Solution

    |

  10. If x = y sqrt(1-y^(2)), then dy/dx =

    Text Solution

    |

  11. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

    Text Solution

    |

  12. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (-1 l...

    Text Solution

    |

  13. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (0 lt...

    Text Solution

    |

  14. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (x gt...

    Text Solution

    |

  15. If y=tan^(-1)(( sin x + cosx)/(cosx-sinx)) then (dy)/(dx) is equal to

    Text Solution

    |

  16. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  17. If y =x sin^(-1)x + sqrt(1-x^(2)), then dy/dx =

    Text Solution

    |

  18. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

    Text Solution

    |

  19. If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)), then (dy)/(dx)...

    Text Solution

    |

  20. d/dx [cos^(-1)((1-x^(2))/(1+x^(2)))] at x = -1/sqrt2.

    Text Solution

    |