Home
Class 12
MATHS
Find the maximum or minimum of the follo...

Find the maximum or minimum of the following expressions as x varies over R.
`x^(2)-x+7`

Text Solution

Verified by Experts

The correct Answer is:
`=(28-1)/(4)=(27)/(4)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|8 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

  • QUESTION PAPER -2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Type questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the maximum or minimum of the following expressions as x varies over R. 2x+5-3x^(2)

Find the maximum or minimum of the following expressions as x varies over R. 12x-x^(2)-32

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

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 and the minimum values of the following function over R. (i) sin^(2) X (ii) 7 cos x -24 sin x + 5 (iii) 3 sin x-4 cos x (iv) 3 cos (4x -5) + 4 (v ) (sin x+ cos x) (vi) 5 sin x + 12 cosx + 13 (vii) (3 sin^(2) x+ 4) (ix) 5 sin x + 12 cos x -13

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

Find the maximum or minimum value of the quadratic expression 2x-7-5x^(2)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Find the changes in the sign of the following expressions and find the...

    Text Solution

    |

  2. Find the changes in the sign of the following expressions and find the...

    Text Solution

    |

  3. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  4. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  5. Find the maximum or minimum of the following expressions as x varies o...

    Text Solution

    |

  6. Determine the range of the following expressions. (x^(2)+x+1)/(x^(2)...

    Text Solution

    |

  7. Determine the range of the following expressions. (x+2)/(2x^(2)+3x+6...

    Text Solution

    |

  8. Determine the range of the following expressions. ((x-1)(x+2))/(x+3)

    Text Solution

    |

  9. Determine the range of the following expressions. (2x^(2)-6x+5)/(x^(...

    Text Solution

    |

  10. If the expressions (x-p)/(x^(2)-3x+2) takes all real value for x in R,...

    Text Solution

    |

  11. If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac...

    Text Solution

    |

  12. Solve the following inequations by algebraic method. 15x^(2)+4x-4 le...

    Text Solution

    |

  13. Solve the following inequations by algebraic method. x^(2)-2x+1 lt 0

    Text Solution

    |

  14. Solve the following inequations by algebraic method. 2-3x-2x^(2) ge ...

    Text Solution

    |

  15. Solve the following inequations by algebraic method. x^(2)-4x-21 ge ...

    Text Solution

    |

  16. Solve the following inequations by graphical method. x^(2)-7x+6 gt0

    Text Solution

    |

  17. Solve the following inequations by graphical method. 4-x^(2) gt0

    Text Solution

    |

  18. Solve the following inequations by graphical method. 15x^(2)+4x-4 le...

    Text Solution

    |

  19. Solve the following inequations by graphical method. x^(2)-4x-21 ge ...

    Text Solution

    |

  20. Solve the following inequations. sqrt(3x-8) lt -2

    Text Solution

    |