Home
Class 12
MATHS
The function f(x)=2log(x-2)-x^2+4x+1 inc...

The function `f(x)=2log(x-2)-x^2+4x+1` increases on the interval (a) `(1,\ 2)` (b) `(2,\ 3)` (c) `(1,\ 3)` (d) `(2,\ 4)`

A

(1, 2)

B

(2, 3)

C

(1/2, 3)

D

(2, 4)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 1|65 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=2log(x-2)-x^(2)+4x+1 increases in the interval

The function f(x)=2x^(3)-15x^(2)+36x+1 is increasing in the interval

The function log (1+x) - (2x)/(x+2) is increasing in the interval:

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is

If mean value theorem holds good for the function f(x)=(x-1)/(x) on the interval [1,3] then the value of 'c' is 2 (b) (1)/(sqrt(3))( c) (2)/(sqrt(3))(d)sqrt(3)

The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on the interval (0,(pi)/(2)) is (1)/(sqrt(2))(b)sqrt(2)(c)1(d)-sqrt(2)

The domain of the function f(x)=(log_(e)(log_((1)/(2))|x-3|))/(x^(2)-4x+3) is (A) (-oo,4)-{3} (B) (4,oo) (C) (2,4)-{3} (D) (-oo,4)-{1,3}

Find the average value of mu of the function f(x) over the indicated intervals: (a) f(x) = 2x^(2) + 1 over [0, 1] (b) f(x) = (1)/(x) over [1, 2] (c ) f(x) = 3^(x)-2x + 3 over [0, 2]

The domain of the function f(x)=sqrt(log(|x|-1))(x^(2)+4x+4) is (a) (-3,-1)uu(1,2)(b)(-2,-1)uu(2,oo) (d) none of these (d)none of these

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 2
  1. Find the point of intersection of the tangents drawn to the curve x...

    Text Solution

    |

  2. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  3. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

    Text Solution

    |

  4. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

    Text Solution

    |

  5. Let f(x)=x^3+ax^2+bx+5sin^2x be an increasing function in the set of r...

    Text Solution

    |

  6. The function f(x) = 3 cos^(4)x + 10 cos^(3) x + 6 cos^(2)x - 3, (0 le ...

    Text Solution

    |

  7. f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the int...

    Text Solution

    |

  8. The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is

    Text Solution

    |

  9. The number of solutions of the equation x^3 +2 x^2 +5 x + 2 cos x = 0 ...

    Text Solution

    |

  10. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

    Text Solution

    |

  11. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(...

    Text Solution

    |

  12. f(x)=(sin^(2)x)e^(-2sin^(2)x)*max f(x)-min f(x)=

    Text Solution

    |

  13. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  14. L L ' is the latus sectum of the parabola y^2=4a xa n dP P ' is a doub...

    Text Solution

    |

  15. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

    Text Solution

    |

  16. The function log(1+x) - (2x)/(x+2) is increasing in the interval:

    Text Solution

    |

  17. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

    Text Solution

    |

  18. Which one of the following statements is correct in respect of the cur...

    Text Solution

    |

  19. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  20. Let domain and range of f(x) and g(x) are respectively (0,oo). If f(x)...

    Text Solution

    |