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

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

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

The value of x for which function sin 2x attains its maximum is :

The value of x for which function cos 2x attains its maximum is :

Find the maximum value of f (X) = 2x^2 - x +1

Fill in the blanks: The function f(X) =(2x^2-1)/(x^4) . X> 0 is a decreaisng function in the interval.

Verify Lagrange's mean value theorem for the following functions f(x) = x^3 - 2x^2 - x + 3 in the interval [0,1]

If x^2+ 4ax +2 >0 for all values of x, then a lies in the interval:

Verify Lagrange's Mean Value Theorem for the function : f(x) = x (x - 1) (x - 2) (x - 3) in the interval [0,4]

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. What is the maximum value of the function sinx + cosx?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the maximum and minimum values of x + sin 2x on [0, 2pi]

    Text Solution

    |

  5. . Find two numbers whose sum is 24 and whose product is as large as po...

    Text Solution

    |

  6. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

    Text Solution

    |

  7. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  8. A square ·piece of tin of side 12 cm is to be made into a box without ...

    Text Solution

    |

  9. A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...

    Text Solution

    |

  10. Show that of all rectangles inscribed in a given circle the square has...

    Text Solution

    |

  11. Show that the rectangle of maximm area that can be inscribed in a circ...

    Text Solution

    |

  12. Show that the right circular cylinder of given surface and maximum vol...

    Text Solution

    |

  13. If all the closed cylindrical cans (right circular), which enclose a g...

    Text Solution

    |

  14. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

    Text Solution

    |

  15. Prove that volume of largest cone, which can be inscribed in a sphere,...

    Text Solution

    |

  16. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  17. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  18. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  19. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  20. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |