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

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

A

e

B

`e^(((1)/(e)))`

C

1

D

`e^(e)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

The maximum value of 8x-x^(2)

Let x_1 and x_2 be the real roots of the equation x^(2) -kx +(k^(2) +7x+15)=0 if the maximum value of (x_1^(2) + x_2^(2)) is (18)/(x) , then find the value of x .

If 02 le x le 2 , the maximum value of f(x)=1-x^(2) is

If x be real, find the maximum value of ((x+2))/(2x^(2)+3x+6) .

The absolute maximum and minimum values of functions can be found by their monotonic and asymptotic behaviour provided they exist. We may agree that finite limits values may be reagarded as absolute maximum or minimum. For instance the absolute maximum value of (1)/(1+x^(2)) is unity. It is attained at x=0 while absolute maximum value of the same functions is zero which is a limiting value of (xrarrooorxrarr-oo) The absolute minimum and maximum values of the function (x^(2)-x+1)/(x^(2)+x+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 absolute maximum and minimum values of functions can be found by their monotonic and asymptotic behaviour provided they exist. We may agree that finite limits values may be reagarded as absolute maximum or minimum. For instance the absolute maximum value of (1)/(1+x^(2)) is unity. It is attained at x=0 while absolute maximum value of the same functions is zero which is a limiting value of (xrarrooorxrarr-oo) The absolute minimum value of the function (x-2)/(sqrt(x^(2)+1)) is

The maximum value of cos (int_(2x)^(x^(2)) e^t sin^2 " t dt ")

For the real values of x, the maximum value of 7+10x-5x^(2) is

The maximum value of y = sqrt((x-3)^(2)+(x^(2)-2)^(2))-sqrt(x^(2)-(x^(2)-1)^(2)) is

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  2. If f(x)=x.e^(x(1-x), then f(x) is

    Text Solution

    |

  3. Which of the following is correct ?

    Text Solution

    |

  4. Find the value of a, if the equation x-sinx=a has a unique root ...

    Text Solution

    |

  5. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  6. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  7. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |

  11. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  12. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

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

    Text Solution

    |

  14. The point (0,3) is nearest to the curve x^(2)=2y at

    Text Solution

    |

  15. Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; a n...

    Text Solution

    |

  16. If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 h...

    Text Solution

    |

  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  18. If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 the...

    Text Solution

    |

  19. If the least area of triangle formed by tangent,normal at any point P ...

    Text Solution

    |

  20. Let f''(x) gt 0 AA x in R and let g(x)=f(x)+f(2-x) then interval of ...

    Text Solution

    |