Home
Class 12
MATHS
The maximum value of ((1)/(x))^(2x^(2)) ...

The maximum value of `((1)/(x))^(2x^(2))` is :

A

`e^(-1/2)`

B

`root (e)(e)`

C

1

D

`e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The maximum value of (1/x)^(x) is

The maximum value of (1/x)^x is

The maximum value of (logx)/(x) in (2,oo) is

The maximum value of x e^(-x) is

The maximum value of (logx)/(x) is :

The maximum value of f(x)=(x)/(1+4x+x^(2)) on [-1, 1] is :

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The condition f(x) = x^(3)+px^(2)+qx+r (x in R) to have no extreme val...

    Text Solution

    |

  2. If m and M respectively the minimum and maximum of f(x)=(x-1)^(2)+3 fo...

    Text Solution

    |

  3. Let, f(x) = int0^(x) (cos t)/t dt. Then x = (2n+1) pi/2, f(x) has

    Text Solution

    |

  4. The point of extremum of the function phi (x) = int1^(x) e^(t^(2)/2) (...

    Text Solution

    |

  5. If f'(x)=(x-a)^(2n)(x-b)^(2p+1), when n and p are positive integers, t...

    Text Solution

    |

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

    Text Solution

    |

  7. If h(x) = f(x) + f(-x) then h(x) has got an extreme value at a point w...

    Text Solution

    |

  8. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  9. If a lt 0, f(x) = e^(ax) + e^(-ax) and S = {x: f(x) is monotonically ...

    Text Solution

    |

  10. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

    Text Solution

    |

  11. f(x) = ((e^(2x)-1)/(e^(2x)+1)) is

    Text Solution

    |

  12. If f(x) = 2x^(3)-21x^(2)+36x-30, then for f(x) which one of the follow...

    Text Solution

    |

  13. The value of k in order that f(x)=sin x-cos x-kx +b decrease for all r...

    Text Solution

    |

  14. The maximum area of a rectangle that can be inscribed in a circle of r...

    Text Solution

    |

  15. The maximum value of (logx)/(x) in (2,oo) is

    Text Solution

    |

  16. The minimum value of 26^(cos 2x) 81 ^(sin 2x) is

    Text Solution

    |

  17. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  18. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  19. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  20. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |