Home
Class 12
MATHS
The minimum value of x/((log)e x) is e (...

The minimum value of `x/((log)_e x)` is `e` (b) `1//e` (c) 1 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

The minimum value of x\ (log)_e x is equal to e (b) 1//e (c) -1//e (d) 2e (e) e

The minimum value of e^((2x^2-2x+1)sin^(2)x) is a. e (b) 1/e (c) 1 (d) 0

The maximum value of x^(1/x),x >0 is (a) e^(1/e) (b) (1/e)^e (c) 1 (d) none of these

The maximum value of x^(1/x),x >0 is (a) e^(1/e) (b) (1/e)^e (c) 1 (d) none of these

The maximum value of (logx)/x is (a) 1 (b) 2/e (c) e (d) 1/e

The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a) x/((log)_e x) (b) 1/x(log)_e x (c) 1/(x(log)_e x) (d) none of these

The value of lim_(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (d) none of these

Given the function f(x)=x^2e^-(2x) ,x>0. Then f(x) has the maximum value equal to a) e^-1 b) (2e)^-1 . c) e^-2 d) none of these

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a) 0 (b) 1/e (c) e (d) none of these

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_e 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...

    Text Solution

    |

  2. If a x+b/xgeqc for all positive x where a ,\ b ,\ >0 , then a b<(c^2)/...

    Text Solution

    |

  3. The minimum value of x/((log)e x) is e (b) 1//e (c) 1 (d) none of thes...

    Text Solution

    |

  4. For the function f(x)=x+1/x x=1 is a point of maximum (b) x=-1 is a p...

    Text Solution

    |

  5. Let f(x)=x^3+3x^2-9x+2 . Then, f(x) has a maximum at x=1 (b) a minimum...

    Text Solution

    |

  6. The minimum value of f(x)=x^4-x^2-2x+6 is (a) 6 (b) 4 (c) 8 (d) none o...

    Text Solution

    |

  7. The number which exceeds its square by the greatest possible quanti...

    Text Solution

    |

  8. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2 . Then, f(x) has a minimum at x= (a+...

    Text Solution

    |

  9. The sum of two non-zero numbers is 8, the minimum value of the sum ...

    Text Solution

    |

  10. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  11. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...

    Text Solution

    |

  12. If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...

    Text Solution

    |

  13. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  14. The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  15. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  16. If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...

    Text Solution

    |

  17. The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...

    Text Solution

    |

  18. f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

    Text Solution

    |

  19. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  20. The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

    Text Solution

    |