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

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

A

1) 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

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|18 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|18 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

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

The maximum value of (ln x)/x 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 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 function x^(4)-4x+1 will have.

The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is

Determine the maximum value of f(x)=x+ sin 2 x in [0,2pi]

If x<0, what is the maximum value of x + 1/x

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    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 the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  6. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  7. Find the intervals in which the following functions are (a)increasing ...

    Text Solution

    |

  8. Let f:R to R be defined by f(x)=2x+cosx, 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)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

    Text Solution

    |

  11. Which of the following function is strictly decreasing in ( 0, pi/2) ?

    Text Solution

    |

  12. The function f(x) = tanx - x

    Text Solution

    |

  13. If x is real, the maximum value of x^2 -8x + 17 is

    Text Solution

    |

  14. The smallest value of 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. Find the maximum value of sin x cos x.

    Text Solution

    |

  17. At x=(5pi)/6, f(x)=2sin3x+3cos3x is :

    Text Solution

    |

  18. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |