Home
Class 12
MATHS
Let exp (x) denote the exponential funct...

Let exp (x) denote the exponential function `e^(x)`. If `f(x)=exp(x^((1)/(x))), x gt 0`, then the minimum value of f in the interval [2, 5] is

A

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

B

`exp(2^((1)/(2)))`

C

`exp(5^((1)/(5)))`

D

`exp(3^((1)/(2)))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let exp(x) denotes the exponential function e^(x) . If f(x)=exp(x^((1)/(x))),x gt0 , then the minimum value of f in the interval [2, 5] is-

Let exp(x) denote exponential function e^x . If f(x)=exp(x^(1/x)).xgt0 then the minimum value of f in the interval [2,5] is

Let f(x) = x^(3) e^(-3x) , x gt 0 . Then the maximum value of f(x) is:

Let f(x)=(bx+a)/(x+1), lim_(x to 0)f(x)=2 then the value of a is .

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-

The minimum value of the function f(x)=x^(2)-x+2 is -

If f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 , then the value of f^(-1)(x) is -

The minimum value of the function f(x)=2|x-1|+|x-2| is -

If the function f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x) , then the value of g'(1) is

The minimum value of the function f(x)=2|x-1|+|x-2| is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. For any two real numbers a and b, we define a R b if and only if sin^(...

    Text Solution

    |

  2. Let n be a positive even integer. The ratio of the largest coefficient...

    Text Solution

    |

  3. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

    Text Solution

    |

  4. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

    Text Solution

    |

  5. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

    Text Solution

    |

  6. The minimum value of the function f(x)=2|x-1|+|x-2| is

    Text Solution

    |

  7. If P, Q, R are angles of an isoseles triangle and angle P = (pi)/(2), ...

    Text Solution

    |

  8. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  9. Let [a] denote the greatest integer which is less than or equal to a. ...

    Text Solution

    |

  10. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

    Text Solution

    |

  11. If sin^(2)theta+3cos theta=2, then cos^(3)theta + sec^(3)theta is

    Text Solution

    |

  12. Let x=1+(1)/(2xx|ul(1))+(1)/(4xx|ul(2))+(1)/(8xx|ul(3))+……. and y=...

    Text Solution

    |

  13. The value of the infinite series (1^(2)+2^(2))/(|ul(3))+(1^(2)+2^(2)+3...

    Text Solution

    |

  14. The value of the integral int((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x...

    Text Solution

    |

  15. Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1. Then

    Text Solution

    |

  16. Let F(x)=int(0)^(x)(cos t)/((1+t^(2)))dt, 0 le x le 2 pi. Then

    Text Solution

    |

  17. Find the area of the region bounded by the curve y = x^(2) and the lin...

    Text Solution

    |

  18. Let P be a point on the parabola y^(2)=4ax with focus F. Let Q denote ...

    Text Solution

    |

  19. An objective type test paper has 5 questions. Out of these 5 questions...

    Text Solution

    |

  20. A family of curves is such that the length intercepted on the y-axis b...

    Text Solution

    |