Home
Class 12
MATHS
The maximum value of ((logx)/x)is...

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

A

`(1/e)`

B

`2/e`

C

e

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of x^((1)/(x)) .

Maximum value of (log x)/(x) in [2, oo) is-

Write the maximum value of f(x)=x^(1//x) .

The maximum value of f(x)=(x-2)(x-3)^2 is

Using calculus find the maximum value of cos x

The maximum value of (1/x)^x, xgt0 is

Prove that the maximum value of ((2x-1)(x-8))/((x-1)(x-4)) is less then its minimum value.

The maximum value of y=8-x^(2) is -

The maximum value of 4x-x^2-2 is-

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

    Text Solution

    |

  2. Which of the following holds true for "x"in[0,pi/2)

    Text Solution

    |

  3. The maximum value of ((logx)/x)is

    Text Solution

    |

  4. The minimum value of (x^2+250/x) is

    Text Solution

    |

  5. The minimum value of f(x)=3x^4-8x^3-48x+25 on [0.3] is

    Text Solution

    |

  6. The maximum value of f(x)=(x-2)(x-3)^2 is

    Text Solution

    |

  7. The points for which the function f(x)=underset1overset"x"int{2(t-1)(t...

    Text Solution

    |

  8. Find the shortest distance between the curve x^2+y^2=4 and the point (...

    Text Solution

    |

  9. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

    Text Solution

    |

  10. The total number of local maxima and local minima for the function ...

    Text Solution

    |

  11. Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0...

    Text Solution

    |

  12. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  13. If line ax+by+c=0 is normal to the curve xy+5=0 then a and b are of :

    Text Solution

    |

  14. If the tangent at (x0,y0) to the curve x^3+y^3=a^3 meets the curve aga...

    Text Solution

    |

  15. If x/a+y/b=2 touches the curve x^n/a^n+y^n/b^n=2 at the point (alpha,b...

    Text Solution

    |

  16. The ength of substangent to the curve y=e^(x//a) is :

    Text Solution

    |

  17. The length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) ...

    Text Solution

    |

  18. Between any two real roots of the equation e^xsinx-1=0, the equation e...

    Text Solution

    |

  19. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

    Text Solution

    |

  20. If 27a+9b+3c+d=0, then the equation 4ax^3+3bx^2+2cx+d=0 has at least o...

    Text Solution

    |