Home
Class 12
MATHS
Local maximum of f(x) =x +(1)/(x), where...

Local maximum of `f(x) =x +(1)/(x)`, where `x lt 0`, is

Text Solution

Verified by Experts

The correct Answer is:
`-2`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.1)|18 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.2)|23 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Local minimum of f(x) =x+ (1)/(x) , where x gt 0 , is

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=sin x+(1)/(2)cos2x where ' 0

Let f(x)=(sinpix)/(x^(2)), x gt 0 The x_(1) lt x_(2) lt x_(3) . . . lt x_(n)lt .. . be all points of local maximum of f(x) and y^(1) lt y_(2) lt y_(3) . . . lt y_(n) lt . . . be all the points of lcal minimum of f(x) then correct options is/are

Find the local maxima and local minima, and the corresponding local maximum and local minimum values of the following functions: (i) f(x) = x sqrt(1 - x) , where x gt 0 (ii) f(x) = (x)/((x -1) (x -4)), " where " 1 lt x lt 4

Find the points of local maxima or local minima,if any,and local maximum or local minimum values of f(x)=sin x+cos x where ' 0

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=sin x-cos x where ' 0

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=2cos x+x , where 0

Find the points of local maxima or local minima,if any,using first derivative test,and local maximum or local minimum of f(x)=x sqrt(1-x),x>0

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=sin2x-x, where -pi/2

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=sin2x, where '0

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (D. Very Short Answer Types Questions)
  1. Find the set of values of 'a' such that f(x)=ax-sinx is increasing on ...

    Text Solution

    |

  2. Examine whether the function given by f(x)=x^(3)-3x^(2)+3x-5 is increa...

    Text Solution

    |

  3. Write the interval in which the function f(x)=cos x is strictly decrea...

    Text Solution

    |

  4. Find the point on the curve y=x^(2)-2x+5, where the tangent is paralle...

    Text Solution

    |

  5. Write the value of (dy)/(dx), if the normal to the curve y=f(x) at (x,...

    Text Solution

    |

  6. Find the slope of the tangent to the curve y" "=" "x^3" "x" "a t" "x" ...

    Text Solution

    |

  7. Find the slope of tangent line to the curve : y=x^(2)-2x+1.

    Text Solution

    |

  8. Find the slope of the normal to the curve to y=x^(3)-x+1 at x=2.

    Text Solution

    |

  9. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

    Text Solution

    |

  10. Find the equation of the tangent line to the curve y=sinx" at "x=(pi)/...

    Text Solution

    |

  11. Find the equation of the tangent line to the curve y=xtan^(2)x" at " x...

    Text Solution

    |

  12. Find the equation of the normal line to the curve f(x)=5x^(3)-2x^(2)-3...

    Text Solution

    |

  13. Find the angle between y=f(x) and y=2e^(2x) at their point of intersec...

    Text Solution

    |

  14. Using differentials, find the approximate values of the following : ...

    Text Solution

    |

  15. Find the minimum values of f(x)=x^(2)+(1)/(x^(2)), x gt 0

    Text Solution

    |

  16. Local maximum of f(x) =x +(1)/(x), where x lt 0, is

    Text Solution

    |

  17. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  18. Find the maximum and minimum values, if any, of the following function...

    Text Solution

    |

  19. Show that the value of x^x is minimum when x =1/e.

    Text Solution

    |

  20. Find two positive numbers whose sum is 14 and product is maximum.

    Text Solution

    |