Home
Class 12
MATHS
The maximum value of f(x)=x/(4-x+x^2) o...

The maximum value of `f(x)=x/(4-x+x^2)` on `[-1,1]` is (a)`1/4` (b) `-1/3` (c) `1/6` (d) `1/5`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

The maximum value of f(x)=x/(1+4x+x^2) is -1/4 (b) -1/3 (c) 1/6 (d) 1/6

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

The value of (lim)_(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a) -1//2 (b.) -2//3 (c). -3//2 (d). -1//3

The function f(x)=e^x+x , being differentiable and one-to-one, has a differentiable inverse f^(-1)(x)dot The value of d/(dx)(f^(-1)) at the point f(log2) is (a) 1/(1n2) (b) 1/3 (c) 1/4 (d) none of these

If f(x)=cos(logx), then value of f(x) f(4)-1/2{f(x/4)+f(4x)} is (a) 1 (b) -1 (c) 0 (d) +- 1

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0

If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1 (d) 3/4

The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in the interval [0,1] is 2^(0. 4) (b) 2^(-0. 4) 1 (d) 2^(0. 6)

The function f(x)=e^x+x , being differentiable and one-to-one, has a differentiable inverse f^(-1)(x)dot The value of d/(dx)(f^(-1)) at the point f(log2) is 1/(1n2) (b) 1/3 (c) 1/4 (d) none of these

If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of lim_(x->a)(g(x)f(a)-g(a)f(x))/(x-a) is (a) -5 (b) 1/5 (c) 5 (d) none of these

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  2. A telephone company in a town has 500 subscribers on its list and c...

    Text Solution

    |

  3. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3...

    Text Solution

    |

  4. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  5. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  6. The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...

    Text Solution

    |

  7. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

    Text Solution

    |

  8. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the points of local maxima and local minima, if any, y = 3x^3+...

    Text Solution

    |

  11. Find the local maximum and local minimum value of f(x)=secx+logcos^2x...

    Text Solution

    |

  12. Amongst all pairs of positive numbers with product 256, find those ...

    Text Solution

    |

  13. Find two positive numbers whose sum is 14 and the sum of whose squa...

    Text Solution

    |

  14. A beam is supported at the two ends and is uniformly loaded. The ben...

    Text Solution

    |

  15. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  16. Find all the points of local maxima and local minima of the functio...

    Text Solution

    |

  17. Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor ...

    Text Solution

    |

  18. Find all the points of local maxima and minima and the correspondin...

    Text Solution

    |

  19. Find all the points of local maxima and minima and the corresponding...

    Text Solution

    |

  20. Find the points of local maxima, local minima and the points of inf...

    Text Solution

    |