Home
Class 12
MATHS
Let the function f:RtoR be defined by f(...

Let the function f:`RtoR` be defined by `f(x)=2x+cosx`. Then f

A

has maximum at x=0

B

has minimum at x=`pi`

C

is an increasing function

D

is a decreasing function

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos
  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Let function f:RtoR be defined by f(x)=2x+sinx for x inR . Then f is :

Let the function f be defined by f(x) = "x sin" (1)/(x) , when x ne 0 = 0 , when x = 0. Then at x = 0, f is :

Prove that the function f : R to R defined by f(x) = 2x , AA x in R is bijective.

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

Let f : R to R be defined by f(x)=x^(4) , then

Prove that the function f: R to R defined by f(x) = 4x + 3 is invertible and find the inverse of 'f' .

Let f: R to R be defined by f(x) = x^(4) , then

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then f is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  2. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

    Text Solution

    |

  3. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

    Text Solution

    |

  4. The perimeter of a sector is p. the area of the sector is maximum when...

    Text Solution

    |

  5. The equation to the tangent to the curve y=be^(x//a) at the point wher...

    Text Solution

    |

  6. The value of intx^(3)logxdx is:

    Text Solution

    |

  7. The value of int(0)^(pi)(dx)/(5+3cosx) is

    Text Solution

    |

  8. The false statement in the following is

    Text Solution

    |

  9. If the vectors 3hati+hatj-2hatk,hati+2hatj-3hatk,3hati+lamdahatj+5hatk...

    Text Solution

    |

  10. Equations of the tangent and the normal drawn at the point (6,0) on th...

    Text Solution

    |

  11. The equation to the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |

  12. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

    Text Solution

    |

  13. Two intersecting circles have their radii 1 and sqrt(3) meters. The di...

    Text Solution

    |

  14. The height of the cylinder of maximum volume inscribed in a sphere of ...

    Text Solution

    |

  15. For all positive values of x and y, the value of ((1+x+x^(2))(1+y+y^(2...

    Text Solution

    |

  16. How many nine digit numbers can be formed using the digit 2,2,3,3,5,58...

    Text Solution

    |

  17. There are n points in a plane of which p points are collinear. How man...

    Text Solution

    |

  18. If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1...

    Text Solution

    |

  19. The value of int(0)^(pi//2) logtanxdx is

    Text Solution

    |

  20. The value of int(-1//2)^(1//2)(cosx)[log((1-x)/(1+x))]dx is

    Text Solution

    |