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

The maximum value of `f(x)=((1)/(x))^(x)` is …………

A

e

B

`e^(e )`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|5 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - A)|5 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

The local maximum value of f(x)=x+(1)/(x) is ………….

Local maximum value of f(x)=x+(1)/(x)x ne 0 is ………..

The maximum value of f(x)=5cos x + 12 sin x is ………..

For all real values of x, the minimum value of f(x)=(1-x+x^(2))/(1+x+x^(2)), AA x in R is ……….

Find both the maximum value and the minimum value of f(x)=3x^(4)-8x^(3)+12x^(2)-48x+25 on the interval [0, 3].

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge 2, AA x in [1,6] . Then minimum value of f (6) is ……….

If f(x)=sin^(-1)(3x-4x^(3)). Then answer the following The value of f'((1)/(sqrt2)) , is

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE TYPE QUESTIONS)
  1. If y=x^(4)-10 and if x change from 2 to 1.99, what is the change in y ...

    Text Solution

    |

  2. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  3. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets X-axis at ...

    Text Solution

    |

  5. The slope of tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the p...

    Text Solution

    |

  6. The two curve x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0 intersect at an ...

    Text Solution

    |

  7. The interval on which the function f(x)=2x^(3)+9x^(2)+12x-1 is decreas...

    Text Solution

    |

  8. Let the f : R to R be defined by f(x)=2x+cos x, then f …………….

    Text Solution

    |

  9. y=x(x-3)^(2) decreases for the values of x given by …………..

    Text Solution

    |

  10. The function f(x)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100 is strictly ………...

    Text Solution

    |

  11. Which of the following functions is decreasing on (0, (pi)/(2)).

    Text Solution

    |

  12. The function f (x) = tan x-x ………..

    Text Solution

    |

  13. If x is real, the minimum value of x^(2)-8x+17 is …………. (Where x in R)

    Text Solution

    |

  14. The smallest value of the polynomial x^(3)-18x^(2)+96x in [0, 9] is ……...

    Text Solution

    |

  15. The function f(x)=2x^(3)-3x^(2)-12x+4, has …………

    Text Solution

    |

  16. The maximum value of sin x.cos x is ………….

    Text Solution

    |

  17. At x=(5pi)/(6), f(x)=2 sin 3x + 3 cos (3x) is ……………

    Text Solution

    |

  18. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is ………….

    Text Solution

    |

  19. f(x)=x^(x) has a stationary point at ……………

    Text Solution

    |

  20. The maximum value of f(x)=((1)/(x))^(x) is …………

    Text Solution

    |