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

(1, 1/2)

B

(1/2, 2)

C

(2, -1/2)

D

(-2/3, -1/6)

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. Let f(x)=(x)/(1+x)-log(1+x), when x gt 0, then f is :

    Text Solution

    |

  2. If f(x) = x^(3)-6x^(2)+9x+3 be a decreasing function, then x lies in

    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 function f(x) = (log x)/(x) is increasing in the interval

    Text Solution

    |

  5. 2x^(3)-6x+5 is an increasing function, if

    Text Solution

    |

  6. If x-2y = 4, then the minimum value of xy is

    Text Solution

    |

  7. The minimum vallue of f(x) = sin^(4)x + cos^(4)x, 0 le x le pi/2 is

    Text Solution

    |

  8. If ab = 2a + 3b, a gt 0, b gt 0, then the minimum value of ab is

    Text Solution

    |

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

    Text Solution

    |

  10. Function f(x) = (lambda sin x + 6 cos x)/(2 sin x + 3 cos x) is monoto...

    Text Solution

    |

  11. The function f(x) = a sin x + 1/3 sin 3x has a maximum value of x = p...

    Text Solution

    |

  12. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  13. If p and q are positive real numbers such that p^(2)+q^(2)=1 then the ...

    Text Solution

    |

  14. On the interval [0,1] the function x^(25)(1-x)^(75) takes its maximum ...

    Text Solution

    |

  15. Let P(x)=a(0)+a(1)x^(2)+a(2)x^(4)+a(3)x^(6)+……+a(n)x^(2n) be a polynom...

    Text Solution

    |

  16. The function f(x) = int1^(x) [2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)] dt ...

    Text Solution

    |

  17. Let, f(x) = int e^(x) (x-1)(x-2) dx, then f(x) decreases in the interv...

    Text Solution

    |

  18. If f(x) = xe^(x(1-x), then f(x) is

    Text Solution

    |

  19. The number of values of x where the function f(x) = cos x + cos (sqrt2...

    Text Solution

    |

  20. If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

    Text Solution

    |