Home
Class 12
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)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f given by f(x) = x^2 - 4x + 6 is strictly increasing: a)(-oo,2) uu (2,oo) b) (2,oo) c) (-oo,2) d) (-oo,2] uu (2,oo)

Find the intervals in which the function f given by f(x) = x^2 - 4x + 6 is strictly increasing: a)(-oo,2) uu (2,oo) b) (2,oo) c) (-oo,2) d) (-oo,2] uu (2,oo)

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

If f(x)=((a^(2)-1)/(3))x^(3)+(a-1)x^(2)+2x+1 is monotonically increasing for every x in R then a can lie in (A) (1,2) (B) (1,oo) (C) (-oo,-3) (D) (-10,-7)

If f(x)=((a^(2)-1)/(3))x^(3)+(a-1)x^(2)+2x monotonically increasing for every x in R then a can lie in (A) (1,2) (B) (1,oo) (C) (-oo,-3) (D) (-10,-7)

The function f(x)=x^(9)+3x^(7)+64 is increasing on (a) R(b)(-oo,0)(c)(0,oo) (d) R_(0)

The function f(x)=cot^(-1)x+x increases in the interval (a)(1,oo)(b)(-1,oo)(c)(-oo,oo)(d)(0,oo)

f(x) = x^2 increases on: (a) ( 0,oo) (b) (-oo,0) (c) (-7,-3) (d) (-oo,-3)

The interval in which y=x^(2)backslash e^(-x) is increasing is (A)(-oo,oo)(B)(2,0)(C)(2,oo)(D)(0,2)

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then (a) k in(2,oo)(b)k in(-oo,2)(c)k in(4,oo)(d)k in(-oo,4)

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Prove that sin^2theta<thetasin(sintheta)for0<theta<pi/2dot

    Text Solution

    |

  2. Let f: R->R be a function such that f(x)=a x+3sinx+4cosxdot Then f(x...

    Text Solution

    |

  3. f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...

    Text Solution

    |

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

    Text Solution

    |

  5. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  6. The intervals of increase of f(x) defined by f(x)=int(-1)^x(t^2+...

    Text Solution

    |

  7. If mean value theorem holds good for the function f(x)=(x-1)/x on ...

    Text Solution

    |

  8. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

    Text Solution

    |

  9. Find the critical points of the function f(x)=2/3sqrt(x^3)-x/2+int1^x(...

    Text Solution

    |

  10. Let f(x)=x+\ sqrt(x)\ "o n"\ [1,4]dot The mean value theorem say...

    Text Solution

    |

  11. Consider f(x)=|1-x|\ \ 1\ lt=xlt=2\ a n d\ \ g(x)=f(x)+bsinpi/2\ ...

    Text Solution

    |

  12. If f is a continuous function on [0,1], differentiable in (0, 1) such ...

    Text Solution

    |

  13. If the function f(x)=2x^2 + 3x + 5 satisfies LMVT at x = 2 on the clo...

    Text Solution

    |

  14. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6]dot Find th...

    Text Solution

    |

  15. Range of the function f(x)=(ln x)/(sqrt(x)) is (a)(-oo,\ e) (b) (-o...

    Text Solution

    |

  16. IF f(x)=x^3+a x^2+b x+5sin^2x\ is a strictly increasing functio...

    Text Solution

    |

  17. In which one of the following intervals Rolles theorem hold(s) good...

    Text Solution

    |

  18. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  19. The set of values of p for which the equation |lnx| -px =0 possess thr...

    Text Solution

    |

  20. If f(x)=1+x+int1^x(ln^2t+2lnt) dt then f(x) increases in

    Text Solution

    |