Home
Class 12
MATHS
The range in which y = - x^(2) + 6x -3 ...

The range in which ` y = - x^(2) + 6x -3` is increasing is

A

` x gt 3`

B

`x lt 3`

C

`5 lt x lt 6`

D

`7 lt x lt 8`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The interval in which y = x^(2) e^(–x) is increasing in

THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is increasing in

2x^(3)-6x+5 is an increasing function, if

Find the interval in which f(x)=2x^(3)+3x^(2)-12x+1 is increasing.

Find the values of x for which y = [x(x – 2)]^(2) is an increasing function.

Find the intervals in which the following function f(x) = 20 - 9x + 6x^(2) - x^(3) (a) strictly increasing, (b) strictly decreasing.

Show that the function f given by f(x)=x^(3)-6x^(2)+17x-420 is strictly increasing on R.

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. A population p(t) of 1000 bacteria introduced into nutrient medium gro...

    Text Solution

    |

  2. A circular sector of perimeter 60 metre with maximum area is to be con...

    Text Solution

    |

  3. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  4. The function f(x)=cot^(-1)x +x increases in the interval :

    Text Solution

    |

  5. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  6. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  7. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  8. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

    Text Solution

    |

  9. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  10. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  11. Let x and y be two variables such that x gt 0 and xy =1. Then the mini...

    Text Solution

    |

  12. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  13. The function f(x) is defined by f(x) = (x+2)e^(-x) is

    Text Solution

    |

  14. The function f(x) = sin^(4)x + cos^(4) x increases if

    Text Solution

    |

  15. Consider the following statements S and R S : Both sin x and cos x ar...

    Text Solution

    |

  16. Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) ...

    Text Solution

    |

  17. The length of the largest interval, in which the function 3 sin x - 4 ...

    Text Solution

    |

  18. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  19. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |

  20. The minimum 2x^(3) - 3x^(2)-12x+8 occurs at x =

    Text Solution

    |