Home
Class 12
MATHS
x^x decreases in the interval...

`x^x` decreases in the interval

A

`(0,e)`

B

`(0,1)`

C

`(0,1/e)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise HS 2019 PART -B|10 Videos

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

  • RANDOM VARIABLE AND ITS DISTRIBUTION

    CHHAYA PUBLICATION|Exercise Assertion Reason Type|8 Videos

Similar Questions

Explore conceptually related problems

The function y=x/(1+x^2) decreases in the interval

Let f(x)=inte^x(x-1)(x-2)dx , then f(x) decreases in the interval

Let f(x)=int_0^xe^t(t-1)(t-2)dt , Then f decreases in the interval

y= f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1, 2) and (3, oo) and decreases in the intervals (oo,1) and (2, 3). If f(x)=0 has four real roots, then the range of values of leading coefficient of polynomial is

If the function f(x) increases in the interval (a , b),a n dvarphi(x) [f(x)]^2 , then varphi(x) increases in (a , b) varphi(x) decreases in (a , b) we cannot say that varphi(x) increases or decreases in (a , b)dot none of these

The function f(x)=2log(x-2)-x^2+4x+1 increases in the interval

F(x)=|xlog_(e)x |monotonically decreases in which interval?

If alt0 , and f(x)=e^(ax)+e^(-ax) Is monotonically decreasing. Find the interval in which x belongs.

What is the value of b for which the function f(x)=sinx-bx+c is decreasing in the interval (-oo, oo) ?

State when the function f(x) is said to be decreasing in a finite interval a le x le b .

CHHAYA PUBLICATION-QUESTIONS PAPER -2019-WBJEE 2019
  1. x^x decreases in the interval

    Text Solution

    |

  2. lim(xto0+)(x^n lnx),ngt0

    Text Solution

    |

  3. If intcosxlog(tan""(x)/(2))=sinxlog(tan""(x)/(2))+f(x) then f(x) is eq...

    Text Solution

    |

  4. y=intcos{2tan^(-1)sqrt((1-x)/(1+x))}dx is a equation of a family of

    Text Solution

    |

  5. The value of integration int(-(pi)/(4))^((pi)/(4))(lambda|sinx|+(musin...

    Text Solution

    |

  6. The value of lim(xto0)(1)/(x)[inty^ae^(sin^2t)dt-int(x+y)^ae^(sin^2t)d...

    Text Solution

    |

  7. If int2^(2^x)*2^xdx=A*2^(2^x)+c, then A=

    Text Solution

    |

  8. The value of the integral int(-1)^(1){(x^(2015))/(x^2+cosx)}dx is equa...

    Text Solution

    |

  9. lim(ntooo)(3)/(n){1+sqrt((n)/(n+3))+sqrt((n)/(n+6))+sqrt((n)/(n+9))+.....

    Text Solution

    |

  10. The general solution of the differential equation (1+e^((x)/(y)))dx+(1...

    Text Solution

    |

  11. General solution of (x+y)^2(dy)/(dx)=a^2,ane0 is

    Text Solution

    |

  12. Let P(4,3) be a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1. If t...

    Text Solution

    |

  13. If the radius of a spherical balloon increases by 0.1%, then its volum...

    Text Solution

    |

  14. Let A be a square matrix of order 3 whose all entries are 1 and let I3...

    Text Solution

    |

  15. If M is any square matrix of order 3 over R and if M' be the transpose...

    Text Solution

    |

  16. If A=({:(5,5x,x),(0,x,5x),(0,0,5):}) and |A^2|=25, then |x| is equal t...

    Text Solution

    |

  17. Let A and B be two square matrices of order 3 and AB=O3, wher O3 denot...

    Text Solution

    |

  18. Let: RtoR be defined by f(x)=x^2-(x^2)/(1+x^2) for all x inR. Then

    Text Solution

    |

  19. Let the relation p be defined on R as apb iff 1+abgt0. Then

    Text Solution

    |

  20. A problem in mathematics is given to 4 students whose chances of solvi...

    Text Solution

    |

  21. If X is a random variable such that sigma(X)=2.6," then "sigma(1-4X) i...

    Text Solution

    |