Home
Class 12
MATHS
The function f(x)=[log (x-1)]^(2) (x-1)...

The function `f(x)=[log (x-1)]^(2) (x-1)^(2)` has :

A

loca extremum at x=1

B

point of inflection at x=1

C

local extremum at x=2

D

point of inflection at x=2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( LEVEL -2 SINGLE CORRECT ANSWER TYPE QUESTIONS )|25 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( NUMERICAL ANSWER TYPE QUESTIONS )|18 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS )|10 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=log(x+sqrt(x^(2)+1)) is

the domain of the function f(x)=log_(3+x)(x^(2)-1) is

The domain of the function f(x)=log_(3+x)(x^(2)-1) is

The function f(x)=log(x+sqrt(x^(2)+1)), is

The domain of the function f(x)=(log)_(3+x)(x^(2)-1) is

The domain of the function f(x)=sqrt(log_(x^(2)-1)x) is

The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

Domain of the function f(x)=log(sin^(-1)sqrt(x^(2)+3x+2)) is :

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Solved Examples ( LEVEL -1 SINGLE CORRECT ANSWER TYPE QUESTIONS )
  1. If the function f(x) = x^(2) + alpha//x has a local minimum at x=2, th...

    Text Solution

    |

  2. Three normals are drawn to the parabola y^(2) = 4x from the point (c,0...

    Text Solution

    |

  3. The function f(x)=[log (x-1)]^(2) (x-1)^(2) has :

    Text Solution

    |

  4. If f(x) = log x satisfies Lagrange's theorem on [1,e] then value of c ...

    Text Solution

    |

  5. The value of c for which the conclusion of Lagrange's theorem holds fo...

    Text Solution

    |

  6. Let f(x) {(|x-2| +a",","if" x le 2),(4x^(2) + 3x +1",","if" x gt 2):}....

    Text Solution

    |

  7. If y = mx + 2 is parallel to a tangent to curve e^(4y) =1 + 16x^(2) th...

    Text Solution

    |

  8. Given the function f(x) = x^(2) e^(-2x), x gt 0. Then f(x) has the max...

    Text Solution

    |

  9. if f(x)=(x -4) (x-5) (x-6) (x-7) then.

    Text Solution

    |

  10. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  11. For all x in (0,1)

    Text Solution

    |

  12. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real x. Then,

    Text Solution

    |

  13. Let f(x) = ax^(3) + bx^(2) + cx + d, b^(2) - 3ac gt 0, a gt 0, c lt 0...

    Text Solution

    |

  14. If f(x)={{:(3-x^(2)",",xle2),(sqrt(a+14)-|x-48|",",xgt2):} and if f(x)...

    Text Solution

    |

  15. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  16. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

    Text Solution

    |

  17. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  18. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  19. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  20. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |