Home
Class 12
MATHS
The function f(x)=x/2+2/x has a local mi...

The function `f(x)=x/2+2/x` has a local minimum at `x=2` (b) `x=-2` `x=0` (d) `x=1`

A

`x=2`

B

`x=-2`

C

`x=0`

D

`x=1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=(x)/(2)+(2)/(x) has a local minimum at x=2( b) x=-2x=0 (d) x=1

The function f(x)=2x^3-3x^2-12x+5 has a minimum at x=

Show that f(x)=x^2+(250)/x has a local minimum at x=5.

The function f(x)=(x-1)^(2) has a minimum at x is equal to

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

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

The function f(x)=(ax+b)/((x-1)(x-4)) has a local maxima at (2,-1), then

If the function f(x) = x^(2) + alpha//x has a local minimum at x=2, then the value of alpha is

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)
  1. If the tangent to the curve y=ax^(2)+3x+7, at the point x=6, is parall...

    Text Solution

    |

  2. If the equation of the normal to the curve y=ax^(2)+2x-3, at =1, is x ...

    Text Solution

    |

  3. Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5...

    Text Solution

    |

  4. Inclination of the normal to the curve xy=c^(2), at the point x=c, is

    Text Solution

    |

  5. Equations of the tangent and normal to the curve y=3sqrt(x-1), at the ...

    Text Solution

    |

  6. If lines T(1) and T(2) touch the curve y=x^(2)-3x+2 at the points wher...

    Text Solution

    |

  7. Equation of the tangent to the curve 4y=x^(2)+3x+2, which is parallel ...

    Text Solution

    |

  8. If the line y=4x+2 touches the curve y=a+bx+3x^(2) at the point where ...

    Text Solution

    |

  9. Equation of the tangent to the curve ((x)/(a))^(2009)+((y)/(b))^(20...

    Text Solution

    |

  10. Any tangent to the curve y=1-x^(5)-8x makes with the X-axis

    Text Solution

    |

  11. f(x)=2x^(3)-18x^(2)+30x+36 has minimum value at x = ….

    Text Solution

    |

  12. Maximum value of f(x)=x^(3)-9x^(2)+24x-15 is

    Text Solution

    |

  13. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

    Text Solution

    |

  14. When x is positive, the minimum value of x^(x) is

    Text Solution

    |

  15. If area of a rectangle is k^(2) , where k gt 0, then its minimum perim...

    Text Solution

    |

  16. If minima of f (x) =(a)/(x)+bx at x = 2 is 2, then (a, b)-=…

    Text Solution

    |

  17. Total cost of producing x items is Rs x^(2)/(4)+25x-50 and selling per...

    Text Solution

    |

  18. If volume of a box, having square base and open top, is 108m ^(3), the...

    Text Solution

    |

  19. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |