Home
Class 12
MATHS
If y=tan^(-1)(( sin x + cosx)/(cosx-sinx...

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

A

0

B

(1/2)

C

1

D

(-1)

Text Solution

Verified by Experts

The correct Answer is:
C
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=tan^(-1)((sin x + cos x)/(cos x - sin x)) , then (dy)/(dx) is equal to

If y="tan"^(-1)((cosx-sinx)/(cosx+sinx)) , then (dy)/(dx)=

int (sinx-cosx)/(cosx+sinx)dx =

If y = tan^(-1) sqrt((1+sin x)/(1-sinx)) , then dy/dx =

If y=(sinx+cosx)/(sinx-cosx) , then (dy)/(dx) at x=0 is :

int (2sinx-cosx)/(2cosx+sinx)dx =

If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to

If y = tan^(-1) sqrt((1-cos x)/(1+cosx)) , then (d^(2)y)/(dx^(2)) = =

If y = sqrt(sinx + y) then dy/dx is equal to

int dx/(1-cosx -sinx) =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (0 lt...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 1/2 is

    Text Solution

    |

  10. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3/2 is

    Text Solution

    |

  11. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/3 is

    Text Solution

    |

  12. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/sqrt2 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = sqrt3/2 is

    Text Solution

    |

  16. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = 1/2 is

    Text Solution

    |

  17. (d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :

    Text Solution

    |

  18. If y=tan^(-1)(sec x+tan x) then (dy)/(dx)=

    Text Solution

    |

  19. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

    Text Solution

    |

  20. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then (dy)/(dx) is

    Text Solution

    |