Home
Class 12
MATHS
It is given that at x=1 , the function x...

It is given that at `x=1` , the function `x^4-62 x^2+a x+9` attains its maximum value on the interval `[0,\ 2]` . Find the value of `a` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of 2x^3-24 x+107 in the interval [1,\ 3] .

At what points in the interval [0,2pi] , does the function sin 2x attain its maximum value?

Find the maximum value of the function x^(1//x) .

Find the maximum and minimum values of f(x)=x+sin2x in the interval [0,\ 2pi]

The value of the function (x-1)(x-2)^2 at its maxima is

Find the maximum value of the function x * e^(-x) .

If the function f(x) = axe^(bx^(2)) has maximum value at x=2 such that f(2) =1 , then find the values of a and b

In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum value at the point (a) 0 (b) 1/4 (c) 1/2 (d) 1/3

If x+y=1 then find the maximum value of the function xy^2

The number of values of x where the function f(x)=cos x +cos (sqrt(2)x) attains its maximum value is

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum.

    Text Solution

    |

  2. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

    Text Solution

    |

  3. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  4. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,\ -1) , find the val...

    Text Solution

    |

  5. Show that the maximum value of (1/x)^x is e^(1//e) .

    Text Solution

    |

  6. Show that sin^p\ theta\ cos^q\ theta attains a maximum, when theta...

    Text Solution

    |

  7. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  8. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  9. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  10. Find the points of local maxima or minima and corresponding local ma...

    Text Solution

    |

  11. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  12. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  13. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  14. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  15. Find the points of local maxima or minima and corresponding local ma...

    Text Solution

    |

  16. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  17. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  18. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  19. Find the local extremum values of the following functions: f(x)=(x-1...

    Text Solution

    |

  20. The function y=alogx+b x^2+x has extreme values at x=1 and x=2 . Find ...

    Text Solution

    |