Home
Class 11
MATHS
If f^1(x)=(x-a)^8(x-b)^(11) then...

If `f^1(x)=(x-a)^8(x-b)^(11)` then

A

x=b is a point of minimum

B

x=b is a point of maximum

C

x=b is a point having neither maximum nor minimum

D

`f'(b)gt0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-I|31 Videos
  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x Tan^(-1) x" then "underset(x to 1)"Lt" (f(x-f(1))/(x-1)=

If f(x) =log((1+x)/(1-x)) then prove that: f((x_(1)+x_(2))/(1+x_(1)x_(2)))=f(x_(1)) + f(x_(2))

{:(1.if F (X) = (1)/(x) then f'(1) =A, 2.If f (x) = (x+1)/(x+3) then f '(-1) =B),(3.If f(x)=x^(2)then f'(1)=C,4. If f(x)=logx then f'(3)=D):} The ascending order of A,B,C ,D is

If f (x) = f ^(1) (x) + f ^(11) (x) + f ^(111) (x) +........oo then find (f ^(1) (x))/(f (x)).

Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
  1. The minimum value of x^(logx) is

    Text Solution

    |

  2. Maximum value of f(x)=(2+x)^(1//3)(1-x)^(2//3) is

    Text Solution

    |

  3. If f^1(x)=(x-a)^8(x-b)^(11) then

    Text Solution

    |

  4. Let f(x) =a0+a1x^2+a2x^4+…….+anx^(2n) be a polynomial in x in R with 0...

    Text Solution

    |

  5. The function f(x)=4x^5-25x^4+40x^3-10 has

    Text Solution

    |

  6. The function x (x-1) (x-2) attains its maximum value when x is

    Text Solution

    |

  7. If x+y = 6543298 and x^(11)y^5 is maximum then the ratio of the number...

    Text Solution

    |

  8. If xgt0,ygt0,x+y=3 and xy is maximum then the maximum value of xy is

    Text Solution

    |

  9. A line segment of length 8cm is divided into two parts AP and PB by a ...

    Text Solution

    |

  10. The value of 'a' for which the function f(x) =a sin x+1/3 sin 3x has a...

    Text Solution

    |

  11. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  12. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  13. The positive real number which most exceeds its cube is

    Text Solution

    |

  14. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

    Text Solution

    |

  15. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  16. The maximum value of the area of the triangle with vertices (a,0) ,(a ...

    Text Solution

    |

  17. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  18. The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x ...

    Text Solution

    |

  19. The largest value of f(x)=2x^(3)-3x^(2)-12x+5 for -2lexle4 occurs at x...

    Text Solution

    |

  20. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

    Text Solution

    |