Home
Class 12
MATHS
If y= a log x+bx^(2)+x has its extreme v...

If `y= a log x+bx^(2)+x` has its extreme values at x = -1 and x = 2, then :

A

a=2, b =-1

B

a = -2, b = 1/2

C

a = 2, b =-1/2

D

a = -2, b =-1/2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2, then

Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If lim_(x to 0) [1+(f(x))/(x^(2))]=3 , then f(2) is equal to :

If h(x) = f(x) + f(-x) then h(x) has got an extreme value at a point where f^(')(x) is

If x^(y) = log x , the value of dy/dx at x = e is

If y = log (x + sqrt(x^(2)+1) then dy/dx =

If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

If int (2x^(2)+3)/((x^(2)-1)(x^(2)+4)) dx = a log((x-1)/(x+1)) +b tan^(-1) (x/2) +c then the values of a and b are

If y = log (log x), then (d^(2)y)/(dx^(2)) is equal to

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If x gt 0, xy = 1, minimum value of x+y is

    Text Solution

    |

  2. If sum of two numbers is 3, then the maximum value of the product of f...

    Text Solution

    |

  3. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

  4. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  5. The number of values of x where the function f(x) = 2(cos 3x + cos sqr...

    Text Solution

    |

  6. The function f(x) = a cos x + b tan x + x has extreme values at x = 0 ...

    Text Solution

    |

  7. Let f(x) = (ax+b)/(cx + d), then f(x) has

    Text Solution

    |

  8. Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

    Text Solution

    |

  9. The function f(x)=2+4x^(2)+6x^(4)+8x^(6) has :

    Text Solution

    |

  10. The function f(x) = x^(1/x), x gt 0 has the maximum value at x = e, th...

    Text Solution

    |

  11. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  12. The sum of two non zero numbers is 4. The minimum value of the sum of ...

    Text Solution

    |

  13. The point in the interval [0, 2pi] where f(x) = e^(x) . sin x has maxi...

    Text Solution

    |

  14. The function f(x) = x^(2) + k/x has a local minimum at x = 2, then the...

    Text Solution

    |

  15. For f(x) = x+1/x,

    Text Solution

    |

  16. The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

    Text Solution

    |

  17. AB is a diameter of a circle and C is any point on the circumference o...

    Text Solution

    |

  18. A circle of radius unity is inscribed in an isosceles triangle. The le...

    Text Solution

    |

  19. An isosceles triangle of vertical angle 2 theta is inscribed in a circ...

    Text Solution

    |

  20. If x is real, the maximum value of ((4x^(2)+7x+10)/(4x^(2)+7x+4)) is

    Text Solution

    |