Home
Class 11
MATHS
f(x)=(x-2)|x-3| is monotonically increa...

`f(x)=(x-2)|x-3|` is monotonically increasing in

A

`(-oo,5//2)uu(3,oo)`

B

`(5//2,oo)`

C

`(2,oo)`

D

`(-oo,3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|10 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(INTEGER TYPE QUESTIONS)|4 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

Function f(x)=|x|-|x-1| is monotonically increasing when

Function f(x)=x^3-27x+5 is monotonically increasing when

The function f(x)=cos(pi/x) is monotonically increasing in the interval K is any positive integer is

If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

f(x)=|xlog_(e )x| monotonically decreases in

If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing function of x in the largest possible interval (-2,-2//3) . Then

Find the intervals in which the function f(x) = x^(3) - 3x^(2) + 4 is strictly increasing for all x in R

AAKASH SERIES-MAXIMA AND MINIMA -ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The funiction 'g' defined by g(x)=f(x^(2)-2x+8)+f(14+2x-x^(2)), where ...

    Text Solution

    |

  2. The largest term in the sequence a(n)=(n^(2))/(n^(3)+200) is given by

    Text Solution

    |

  3. One corner of a long rectangular sheet of paper of whdth 1 units is fo...

    Text Solution

    |

  4. Which of the following statements is always true ?

    Text Solution

    |

  5. Let f be continuous and differentiable function such that f(x) and f(x...

    Text Solution

    |

  6. Which of the following statements is true for the funiction f(x)={{:(s...

    Text Solution

    |

  7. The length of the largest continuous interval in which the funiction f...

    Text Solution

    |

  8. f(x)=(x-1)|(x-2)(x-3)| . Then f decreases in

    Text Solution

    |

  9. f(x)=(x-2)|x-3| is monotonically increasing in

    Text Solution

    |

  10. f(x)=(x-8)^(4)(x-8)^(5),0lexle10, monotonically decreases in

    Text Solution

    |

  11. If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing functio...

    Text Solution

    |

  12. A function g(x) is defined as g(x)=(1)/(4)f(2x^(2)-1)+(1)/(2)f(1-x^(2)...

    Text Solution

    |

  13. If f(x)=4x^(3)-x^(2)-2x+1andg(x)=[{:(min [f(t),0letlex},0lexle1),(3-x,...

    Text Solution

    |

  14. Consider the function f:(-oo,oo)to|(-oo,oo) defined by f(x)=(x^(2)-a)/...

    Text Solution

    |

  15. If Agt0,Bgt0,andA+B=(pi)/(3), then the maximum value of tan A tan B is

    Text Solution

    |

  16. The least value of a for which the equation (4)/(sinx)+(1)/(1-sinx)=a ...

    Text Solution

    |

  17. A cylindrical, gas container is closed at the top and open bottom. If...

    Text Solution

    |

  18. The least perimeter of an isosceles triangle in which a circle of radi...

    Text Solution

    |

  19. A given right cone has volume p, and the largest right circular cylind...

    Text Solution

    |

  20. The base of prism is equal is equilateral triangle . The distance fr...

    Text Solution

    |