Home
Class 12
MATHS
If f (x) = tan ^(-1) ((cos x- sinx)/(cos...

If `f (x) = tan ^(-1) ((cos x- sinx)/(cos x+ sin x))` then the value of `(d)/(dx) f(x)` is-

A

`-(1)/(2)`

B

`(1)/(2)`

C

1

D

`-1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

Similar Questions

Explore conceptually related problems

The value of (d)/(dx)5^(f(x)) is -

If f(x) =1/2 ( sin x+ cos x) + ce ^(-x), then the vlaue of [f ' (x)+ f(x) ] is=

If int (e^(x)(1+sinx))/(1+cos x)dx=e^(x)f(x)+c , then the value of f(x) is -

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If (d)/(dx)f(x)=g(x) , then the value of int_(a)^(b)f(x)g(x)dx is -

If f(x)=x^(3)+3x+4 and g is the inverse function of f(x), then the value of (d)/(dx)((g(x))/(g(g(x)))) at x = 4 equals

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

If f(x)=(1)/(sin x cos x ) , state which of the following is the value of f'(x) ?

Simplify tan^(-1)[(a cos x -b sin x)/( b cos x +a sin x)] if a/b tan x gt -1

If sin x=cos ^2x then the value of cos^2x(1+cos^2x) will be

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2009-MULTIPLE CHOICE QUESTIONS
  1. The number of points on the line x+y=4 which are unit distance apart f...

    Text Solution

    |

  2. The value of sqrt(2+sqrt(2+ sqrt(2….oo))) is

    Text Solution

    |

  3. If f (x) = tan ^(-1) ((cos x- sinx)/(cos x+ sin x)) then the value of ...

    Text Solution

    |

  4. If ab = 2a +3b, a gt0, b gt 0, then the minimum value of ab is-

    Text Solution

    |

  5. If 2cos 3theta=1, then the value of theta is

    Text Solution

    |

  6. For any complex number z, the minimum value of |z|+|z-1| is

    Text Solution

    |

  7. The number of common tangent to two circle x ^(2) +y^(2) =4 and x^(2) ...

    Text Solution

    |

  8. If C is a point on the line segment joining A (-3, 4) and B (2, 1) suc...

    Text Solution

    |

  9. If a, b, c are real, then both the roots of the equation (x -b )(x -c)...

    Text Solution

    |

  10. Find the sum of the following geometric series : 1+(1)/(4)+(1)/(16)+...

    Text Solution

    |

  11. A(-2,7),B(7,15),C(-1,-5)andD(h,k) are the vertices of a parallelogram...

    Text Solution

    |

  12. The domain of definition of the function f(x)=sqrt(1+log(e)(1-x)) is

    Text Solution

    |

  13. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  14. lim(xto2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

  15. Let f(x)=(sqrt(x+3))/(x+1) then the value of Lt(xto-3-0)f(x) is

    Text Solution

    |

  16. f(x)=x+|x| is continuous for

    Text Solution

    |

  17. prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) ...

    Text Solution

    |

  18. If i=sqrt-1 and n is a positive integer, then i^(n)+i^(n+1)+i^(n+3 is ...

    Text Solution

    |

  19. int(dx)/(x(x+1)) equals

    Text Solution

    |

  20. If x is a positive real number different from 1 such that log(a)^(x),l...

    Text Solution

    |