Home
Class 12
MATHS
If f(x)=|cosx-sinx|," then "f^(1)(pi/6) ...

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

A

1)`-1/2(1+sqrt3)`

B

2)`1/2(1+sqrt3)`

C

3)`-1/2(1-sqrt3)`

D

4)`1/2(1-sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

  • K-CET-MATHEMATICS -2019

    SUNSTAR PUBLICATION|Exercise MCQs|58 Videos

Similar Questions

Explore conceptually related problems

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

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

If f(x) = x tan^(-1)x , then f^(')(1) is equal to

If f(x)=cot^(-1)(cos2x)^(1//2) , then f'(pi//6) is :

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

If f:[1,oo)to[1,oo) is given by f(x)=x+(1)/(x) , then f^(-1)(x) equals :

If f:[1,oo)to[2,oo) is given by f(x)=x+(1)/(x) , then f^(-1)(x) equals :

If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)| then int_0^(pi//2)Delta(x) dx is equal to :

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/x),((2x+1)/(x-1)):} if -1lexlt0 is c...

    Text Solution

    |

  2. If cosy=xcos(a+y)" with "cosa!= +-1, then dy/dx is equal to

    Text Solution

    |

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

    Text Solution

    |

  4. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

    Text Solution

    |

  5. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

    Text Solution

    |

  6. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  7. The maximum value of (1/x)^(x) is

    Text Solution

    |

  8. f(x)=x^(x) has a stationary point at :

    Text Solution

    |

  9. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  10. int1/(1+e^(x))dx is equal to

    Text Solution

    |

  11. int1/(sqrt(3-6x-9x^(2)))dx is equal to

    Text Solution

    |

  12. int" e"^(sinx).((sinx+1)/(secx))dx is equal to

    Text Solution

    |

  13. int(-2)^2 |x cos pi x|dx is equal to :

    Text Solution

    |

  14. int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  15. int(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2))) is equal to

    Text Solution

    |

  16. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  17. The area bounded by the line y=x,x-axis and ordinates x=-1 and x=2 is

    Text Solution

    |

  18. The degree and the order of the differential equation (d^(2)y)/(dx^(2)...

    Text Solution

    |

  19. The solution of the differential equation x(dy)/(dx)-y=3 represents a ...

    Text Solution

    |

  20. The integrating factor of (dy)/(dx)+y =(1"+ y ")/x is

    Text Solution

    |