Home
Class 12
MATHS
The minimum value of the fuction f(x) gi...

The minimum value of the fuction f(x) given by `f(x)=x^m/m+x^(−n)/n where 1/m+1/n=1 `and m>1 is

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 7: Subjective Type Questions|1 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 5: Matching Type Questions|1 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If M and m are maximum and minimum value of the function f(x)= (tan^(2)x+4tanx+9)/(1+tan^(2)x) , then (M + m) equals

Check whether the function f : N rarr N given by f (x) = x^2 is 1-1 and onto or not.

Let L denotes the number of subjective functions f : A -> B , where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8 . The value of (LM+N) is lambda , then the value of lambda/19 is

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) , where m!=n . Then, f is one-one onto (b) f is one-one into (c) f is many one onto (d) f is many one into

Find f'(x), where: f(x) = (1+x^2)I_n(2x)*

Verify Rolle's Theorem in the interval [a,b] for the fraction: f(x) = (x-a)^m(x-b)^n,m and n being positive integers. Find the value of 'c'.

If the primitive of the function f(x)=(x^(2009))/((1+x^(2))^(1006)) w.r.t. x is equal to 1/n ((x^(2))/(1+x^(2)))^(m)+C , then n/m is equal to .......

A man is driving a car on the dangerous path given by: f(x) = {:{((1-x^m)/(1-x),xne1),(m-1,x=1):}, m in N . Find the dangerous point (point of discontinuity) on the path. Whether the driver should pass that point on not? Justify your answer?

Show that the function: f: N rarr N given by f(1) = f (2) = 1 and f (x) =x-1 , for every x > 2 is onto but not one-one.

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  2. If f(x)=x^(3)-12x+p,p in {1,2,3,…,15} and for each 'p', the number of ...

    Text Solution

    |

  3. The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n whe...

    Text Solution

    |

  4. If x^(2)+y^(2)=4 then find the maximum value of (x^(3)+y^(3))/(x+y)

    Text Solution

    |

  5. Let f(n) denotes the square of the sum of the digits of natural number...

    Text Solution

    |

  6. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  7. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  8. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  9. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  10. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  11. Let f(x) be a function such that , f(x-1)+f(c+1)=sqrt(3)f(x), forall x...

    Text Solution

    |

  12. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  13. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  14. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  15. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  16. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  17. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  18. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  19. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  20. A non-zero function f (x) is symmetrical about the line y=x then the v...

    Text Solution

    |