Home
Class 11
MATHS
Find the maximum or minimum values of th...

Find the maximum or minimum values of the following functions.
`x + (1)/(x), x gt 0`

Text Solution

Verified by Experts

The correct Answer is:
At x = 1, minimum value = 2
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.2 (Long Answer Questions)|36 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Find the maximum or minimum values of the following functions. 4x - 3x^(2) - 4

Find the maximum or minimum values of the following functions. x^(3) - 6x^(2) + 9x + 1

Find the maximum or minimum values of the following expressions on R i) 2x + 5 – 3x^(2) ii) 12x - x^(2)-32

Find maximum & minimum value of 3 sin x-4 cosx

Find the maximum and minimum value of f(x)=3cosx+4sinx

Find the maximum and minimum value of 24 sin x +7 cos x

Find the maximum and minimum values, if any, of the functions given by h(x) = x + 1, x in (– 1, 1)

Find the absolute maximum value and absolute minimum value of the following functions on the domain specified against the function. f(x) = 2|x| on [-1, 6]

Find the maximum and minimum values, if any, of the functions given by g(x) = – | x + 1| + 3

AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
  1. The turning values of x^3-3px+q(p gt 0) are

    Text Solution

    |

  2. Find the maximum or minimum values of the following functions. 4x - ...

    Text Solution

    |

  3. Find the maximum or minimum values of the following functions. x + ...

    Text Solution

    |

  4. Find the maximum or minimum values of the following functions. x^(3...

    Text Solution

    |

  5. For what values of k, f(x) = x-(k)/(x) has a maximum value at x = -2.

    Text Solution

    |

  6. If y = sum(i=1)^(n)(x-x(i))^(2), x(i) are constants, then for what val...

    Text Solution

    |

  7. If xy(y-x) = 2a^(3), show that y has a minimum value when x = a.

    Text Solution

    |

  8. Show that the least value of a^(2) sec^(2)x + b^(2) "cosec"^(2)x is (...

    Text Solution

    |

  9. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

    Text Solution

    |

  10. Find the greatest and least value of (sin x)^((sin x)).

    Text Solution

    |

  11. If x, y are positive real numbers such that xy = 1 then show that the ...

    Text Solution

    |

  12. If the sum fo two positive numbers is 20 then show that the maximum va...

    Text Solution

    |

  13. If the sum of two positive numbers is 48 then find the two numbers who...

    Text Solution

    |

  14. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |

  15. A quadratic function in x has the value 9 when x = 1 and has a maximum...

    Text Solution

    |

  16. If y = a log|x| + bx^(2) + x has extreme values at x = 2 and x = -4/3 ...

    Text Solution

    |

  17. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  18. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  19. Find the triangle of the greatest area among the right triangles of a ...

    Text Solution

    |

  20. The sum of the hypotenuse and one side of a right angled triangle is g...

    Text Solution

    |