Home
Class 11
MATHS
The function x^x is decreases in...

The function `x^x ` is decreases in

A

`(o,e)`

B

`(0,1)`

C

`(0,(1)/(e))`

D

R

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x^x decrease on the interval

The function cosh ( cos x) decreases in

The function f(x)=10-3x^3+x is decreasing in

The function (log x) /x is increasing in

The function f(x) =(log x)/x decreases in

On which the following intervals in the function x^(100)+sinx-1 decreasing ?

The function f(x) =x^3(x-2)^2 decreases in

Consider the statement S and R S: Both sin x and cos x are decreasing in the interval ((pi)/(2),pi) R: If a differentiable function decreases in an interval (a,b) then its derivative also decreases in (a,b) which of the following is true .

Statemen1 : The equation x log x=2-x is satified by at least one value of x lying between 1 and 2. Statement 2: The function (f)x= x log x is an increasesing function in [1,2] and g(x)=2-x is a decreasing fucntion in [1,2] and the graphs represented by these functions intersect at a point in [1,2]

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The function f(x)=Tan^(-1) (sinx+cosx) is an increasing function in

    Text Solution

    |

  2. On which the following intervals in the function x^(100)+sinx-1 decre...

    Text Solution

    |

  3. The function x^x is decreases in

    Text Solution

    |

  4. The function f(x)=sum(K=1)^(5)(x-K)^(2) assumes the minimum value of x...

    Text Solution

    |

  5. Let f(x)=xsqrt(4ax-x^(2)),(agt0) . Then f(x) is

    Text Solution

    |

  6. If phi(x) is polynomial function and phi(x)gtphi(x)AAxge1andphi(1)=0,t...

    Text Solution

    |

  7. Let f(x) be a function such that f'(x)=log(1//3)[log(3)(sinx+a)]. If f...

    Text Solution

    |

  8. f:RtoR,f(x) is differentiable such that f(f(x))=k(x^(5)+x),(kne0). T...

    Text Solution

    |

  9. f(x)=4tanx-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2),

    Text Solution

    |

  10. f(x)=(asinx+b cosx)/( csinx+dcosx) is an increasing funtion if

    Text Solution

    |

  11. f(x)=(sinx)/(x) is

    Text Solution

    |

  12. Let h(x)=f(x)-[f(x)]^(2)+[f(x)]^(3) for every real number 'x' then

    Text Solution

    |

  13. The stationary points of f(x) =x^(3)-9x^(2)+24x-12are

    Text Solution

    |

  14. The critical point of f(x)=|2x+7| at x=

    Text Solution

    |

  15. The Stationary points of 8x^(2)-x^(4)-4 are

    Text Solution

    |

  16. The critical point of f(x)=|x-1| is

    Text Solution

    |

  17. The critical points of the function f(x)=(x-2)^(2//3)(2x+1) are

    Text Solution

    |

  18. The value of 'x' at which f(x) = cosx is stationary are given by

    Text Solution

    |

  19. The number of stationary points of f(x) = cosx in [0,2pi] are

    Text Solution

    |

  20. The values of 'x' at which f(x) = sinx is stationary are given by

    Text Solution

    |