Home
Class 12
MATHS
If f(x)=1/(4x^(2)+2x+1), then its maximu...

If `f(x)=1/(4x^(2)+2x+1)`, then its maximum value is ...............

Text Solution

Verified by Experts

The correct Answer is:
`4/3`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|18 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-I|38 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = x^2, x inR has no maximum value.

If f(x)=x^2 then find the value of (f(1.1)-f(1))/(1.1-1) .

If f(x)=sin^(-1)((2x)/(1+x^(2))), then Statement I The value of f(2)=sin^(-1)((4)/(5)) . Statement II f(x)=sin^(-1)((2x)/(1+x^(2)))=-2, for xlt1

Show that the function f(x) =x^3 +x^2 + x + 1 has neither a maximum value nor a minimum value.

If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is

Let f(x)=x+(1)/(x),xne0. Discuss the maximum and minimum value of f(x).

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.

If f(x)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

If f(x)=sin^(-1)(3x-4x^(3)). Then answer the following The value of f'((1)/(sqrt2)) , is

If f(x) =x^2-3x+4 , then find the values of x satisfying f (x) =f (2x+1).

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-II
  1. The values of a for which y=x^(2)+ax+25 touches the axis of x are .......

    Text Solution

    |

  2. If f(x)=1/(4x^(2)+2x+1), then its maximum value is ...............

    Text Solution

    |

  3. Let f have second derivative at c such that f'(c)=0 and f''(c) gt 0, t...

    Text Solution

    |

  4. Minimum value of f if f(x)=sinx in [-pi/2, pi/2] is ................. ...

    Text Solution

    |

  5. The maximum value of sinx+cosx is ................. .

    Text Solution

    |

  6. The curves y=4x^(2)+2x-5 and y=x^(3)-x+13 touch each other at the poin...

    Text Solution

    |

  7. The equation of normal to the curve y=tanx at (0, 0) is .................

    Text Solution

    |

  8. The values of a for which the function f(x)=sinx-ax+b increases on R a...

    Text Solution

    |

  9. The function f(x)=(2x^(2)-1)/x^(4), x gt 0, decreases in the interval ...

    Text Solution

    |

  10. The least of the function f(x)=ax+b/x (a gt 0, b gt 0, x gt 0) is .......

    Text Solution

    |

  11. The slope of tangent to the curve y=2-x^(2) at x = 1 is

    Text Solution

    |

  12. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  13. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

    Text Solution

    |

  14. The line y = x - 1, is a tangent to the curve y^2 = 4x at the point :

    Text Solution

    |

  15. The normal to the curve x^2 = 4y passing (1,2) is:

    Text Solution

    |

  16. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

    Text Solution

    |

  17. The interval for which the function f(x)=x^2-8x+7, is strictly increas...

    Text Solution

    |

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

    Text Solution

    |