Home
Class 12
MATHS
For real values of x, the function x-sin...

For real values of x, the function x-sin x is

A

decreasing

B

increasing

C

not decreasing

D

not increasing

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The difference between the greatest and least value of the function f(x) = sin 2x -x on [-pi//2,pi//2] is

The greatest value of the function f(x) =sin 2x -x on [-pi//2,pi//2] is

The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on the interval [0,(pi)/(2)] is

Consider the real values function 2 f(sin x ) + f(cos x) = x , then f(1/2)=

For real x , the function ((x-a ) (x-b))/( x-c) will assume all real values provided

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f (x) = sin x + cos x , x in [0,pi]

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The set of all x for which sin x le x is

    Text Solution

    |

  2. If xlt 0 then f(x) =x^2-x is

    Text Solution

    |

  3. For real values of x, the function x-sin x is

    Text Solution

    |

  4. f(x) =x-1/x is

    Text Solution

    |

  5. If f(x) =sin x -bx+c decreasing along the entire number scale then

    Text Solution

    |

  6. If the function f(x) =2x^2-kx+5 is increasing on [1,2] then k lies in ...

    Text Solution

    |

  7. If f(x) =x^(3) +ax^(2)+bx +5 sin^(2) x is an increasing function on R,...

    Text Solution

    |

  8. If f(x) =kx^3-9x^2+9x+3 is increasing on R,then

    Text Solution

    |

  9. The values of 'a' for which the function (a+2)x^3-3ax^2+9ax-1 decrease...

    Text Solution

    |

  10. The value of a such that x^3-ax^2+48x+1 increasing on R is

    Text Solution

    |

  11. The values of a,b such that x^3+3ax^2+3a^2x+b is increasing on R-{-a} ...

    Text Solution

    |

  12. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

    Text Solution

    |

  13. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

    Text Solution

    |

  14. The condition for f(x) =x^3+px^2+qx+r^',x in R) to have no extreme val...

    Text Solution

    |

  15. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

    Text Solution

    |

  16. The condition f(x) =x/(log x) has minimum value at x=

    Text Solution

    |

  17. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

    Text Solution

    |

  18. f(x) = sin x(1+ cos x) has maximum value at x=

    Text Solution

    |

  19. f(x) = sin ^m x cos ^nx has maximum value at x=

    Text Solution

    |

  20. The function y=2x^3-3x^2-12x+8 has minimum at x=

    Text Solution

    |