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`

B

1

C

`1/2`

D

`(1)/(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 4|91 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 10|1 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 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

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 2
  1. If P (A) is the power set of A= {1,3,5,7} then-

    Text Solution

    |

  2. Let A + {-1,0,1,2,3} and f : A to Z be given by f(x) =x^(2) -5x +7, wh...

    Text Solution

    |

  3. Range of the relation R= {x ,1/x}:0lt x lt 5 and x is an integer " is

    Text Solution

    |

  4. Domain of the relation R = {(x,y) : x in NN,. Y in NN and 2x+y=41} is-

    Text Solution

    |

  5. If for all values of x and y , f(x+y) =f(x) f(y) and f(5) =2, f'(0)=3,...

    Text Solution

    |

  6. The domain of definition of the function sin ^(-1) [log (3) ((x)/(3))]...

    Text Solution

    |

  7. The equation of the parabola with vertex at the origin and directix is...

    Text Solution

    |

  8. lim (xto0) (1-cos mx)/(1-cos nx) is equal to-

    Text Solution

    |

  9. The period of the function f(x) = sin 2x is-

    Text Solution

    |

  10. If the function f(x)={{:((x ^(2) -9)/(x-3), "when" x ne3),(2x+a, "whe...

    Text Solution

    |

  11. If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

    Text Solution

    |

  12. lim (xto0) (a ^(x) -b^(x))/(e ^(x)-1)

    Text Solution

    |

  13. The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

    Text Solution

    |

  14. If f (x-2) =2x ^(2) +3x -5, then the value of f(2) is-

    Text Solution

    |

  15. If f(x) = cos [pi ^(2)] x+cos [-pi^(2)]x, thenthe value of f ((pi)/(2)...

    Text Solution

    |

  16. The value of lim (xto(pi)/(2))tan^(2) x (sqrt( 2 sin ^(2) x+3 sin x+4...

    Text Solution

    |

  17. If f (x+y, x-y)=xy, then the arithmetic mean of f (x,y) and f(y,x) is-

    Text Solution

    |

  18. The range of f (x) =cos ""x/3 is-

    Text Solution

    |

  19. The differential coefficient of the function f (x) =|x-1| + |x-3| at ...

    Text Solution

    |

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

    Text Solution

    |