Home
Class 12
MATHS
If f:R to R be defined by f(x) =2x + cos...

If `f:R to R` be defined by f(x) =2x + cosx, then f

A

has a minimum at `x=pi`

B

has a maximum at x=0

C

is decreasing on R

D

in increasing function on R

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|47 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

The function f:R rarr R be defined by f(x)=2x+cosx then f

If function f R to R is defined by f (x) = 2x + cos x, then

If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

If f : R to R defined by f ( x) = x^(2) + 1 , then find f^(-1) (-3)

Let the funciton f:R to R be defined by f(x)=2x+sin x . Then, f is

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

If f : R rarr R be defined as f(x) = 2x + |x| , then f(2x) + f(-x) - f(x) is equal to

If f: R to R be defined by f(x) =(1)/(x), AA x in R. Then , f is

If f: R to R is defined by f(x) = x^(2)+1 , then show that f is not an injection.

If f:R to R is defined by f(x) = x^(2)-3x+2, write f{f(x)} .

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Chapter Test
  1. The maximum value of the function f(x) given by f(x)=x(x-1)^2,0ltxlt...

    Text Solution

    |

  2. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

    Text Solution

    |

  3. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  4. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  5. Find the maximum value of 4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2...

    Text Solution

    |

  6. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  7. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  8. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  9. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

  10. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  11. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  12. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  13. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  14. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  15. On [1,e] the greatest value of x^2logex, is

    Text Solution

    |

  16. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  17. If f:R to R be defined by f(x) =2x + cosx, then f

    Text Solution

    |

  18. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  19. The maximum value of x^(1/x),x >0 is e^(1/e) (b) (1/e)^e (c) 1 (d) non...

    Text Solution

    |

  20. The perimeter of a sector is a constant. If its area is to be maximum,...

    Text Solution

    |