Home
Class 11
MATHS
A function f is defined by f(x)=|x|^(m)|...

A function f is defined by `f(x)=|x|^(m)|x-1|^(n)AAx inR` . The local maximum value of the function is , `(m,ninN)`

A

1

B

`m^(n)n^(m)`

C

`(m^(m)n^(n))/((m+n)^(m+n))`

D

`((mn)^(mn))/((m+n)^(m+n))`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find local minimum value of the function f given by f (x) = 3 + |x|, x in R.

If f:RtoA defined by f(x)=1/(x^(2)+2x+2),AAx inR is surjective, then A =

Is the function defined by f(x)= |x| , a continuous function?

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Let the function f: R to R be defined by f(x) = 2x + sinx for x in R , then f is

Find the global maximum and global minimumor of the function f:RrarrR defined by f(x)=x^2

f:RrarrR is a function defined by f(x)=10x-7. If g=f^(-1) then g(x)=

Is the function f , defined by f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):} continuous on R ?

The function f:(-oo, -1) to (0, e^(5)] defined by f(x)=e^(x^(3)-3x+2) is

AAKASH SERIES-MAXIMA AND MINIMA -ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of real roots of the equation e^(x-1)+x-2=0 is

    Text Solution

    |

  2. The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on t...

    Text Solution

    |

  3. A function f is defined by f(x)=|x|^(m)|x-1|^(n)AAx inR . The local ma...

    Text Solution

    |

  4. Let the function f (x) be defined as follows : f(x)={{:(x^(3)+x^(2)-10...

    Text Solution

    |

  5. A differentiable function f(x) has a relative minimum at x=0 Then the ...

    Text Solution

    |

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

    Text Solution

    |

  7. The number of values of k for which the equation x^(3)-3x+k=0 has two ...

    Text Solution

    |

  8. Conisider the function f(x) =x cosx-sinx . Then identify the statement...

    Text Solution

    |

  9. The fuel charges for running a train are proportional to the square of...

    Text Solution

    |

  10. Find all possible 'b' for which f(x)=sin2x-8(b+2)cosx-(4b^(2)+16b+6)x ...

    Text Solution

    |

  11. f(x)={{:(2-|x^(2)+5x+6|",",xne-2),(a^(2)+1,x=-2):} Then the range of a...

    Text Solution

    |

  12. If non-zer real numbers b and c are such that min f(x) gt max (g)x, wh...

    Text Solution

    |

  13. Let f be a non - negative function on the interval [0,1] . If int(0)^(...

    Text Solution

    |

  14. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  15. The funiction 'g' defined by g(x)=f(x^(2)-2x+8)+f(14+2x-x^(2)), where ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Which of the following statements is always true ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |