Home
Class 12
MATHS
If x = -1 and x = 2 are extreme points o...

If x = -1 and x = 2 are extreme points of f(x) = `alpha log|x| + beta x^2 + x`, then

A

`alpha=-6, beta =(1)/(2)`

B

`alpha=-6, beta=(-1)/(2)`

C

`alpha=2, beta =(-1)/(2)`

D

`alpha=2, beta=(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

If f(x) = log (x – 2) – 1/x , then

If lim _( x to 0) (alpha x e ^(x) - beta log _(e) (1 + x ) + gamma x ^(2) e ^(-x))/( x^2 sin x) = 10, alpha , beta, gamma in R, then the value of alpha+ beta + gamma is ____________.

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 , then find the value of ((alpha)/(beta) + (beta)/(alpha)) .

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) If h (x) = (f (x))/(g (x)) then h'(alpha) equals to:

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 then find the value of ((alpha)/(beta)+(beta)/(alpha)) .

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) lim _(x to beta) (f (x) -c beta)/(g (x) - beta ^(2))=l then the value of x -l equals to:

If f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x then f(x)

If alpha and beta are the zeros of the polynomial f(x) = 5x^(2) - 7x + 1 , find the value of (1/alpha+1/beta).

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. If f(x)=(6)/(x^(2)+2), then

    Text Solution

    |

  2. If f(x)=a+bx^(2)+cx^(4)+dx^(6), where a,b,c,d all are positive constan...

    Text Solution

    |

  3. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  4. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

    Text Solution

    |

  5. Maximum value of sin theta + cos theta" in "(0,(pi)/(2)) is

    Text Solution

    |

  6. The maximum value of f(x)=a sin x +b cos x is

    Text Solution

    |

  7. The minimum value of f(x)= a sin x+b cos x is

    Text Solution

    |

  8. If a^(2)gtb^(2), then the minimum value of f(x)=a^(2) cos^(2)x+b^(2) s...

    Text Solution

    |

  9. The function f(x)=log x

    Text Solution

    |

  10. The function f(x)=x log x

    Text Solution

    |

  11. On [1,e] the greatest value of x^(2) log x is

    Text Solution

    |

  12. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  13. The function f(x)=x^(2)e^(x) has minimum value

    Text Solution

    |

  14. The function f(x)=x^(2)e^(x) has maximum value

    Text Solution

    |

  15. The function f(x)=x^(x) has

    Text Solution

    |

  16. The value of a for which the sum of the square of the roots of the equ...

    Text Solution

    |

  17. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  18. The real numbers which must exceeds its cube is

    Text Solution

    |

  19. If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.

    Text Solution

    |

  20. Two parts of the number 20 such that their product is maximum are

    Text Solution

    |