Home
Class 12
MATHS
Show that none of the following funct...

Show that none of the following functions has a local maximum or a local minimum: `logx` (ii) `cosx ,\ \ 0ltxltpi`

Text Solution

Verified by Experts

`f(x)=log x`

`f^{prime}(x)=frac{1}{x}>0`

Local Max on Min does not exist

`quad f(x)=cos x quad 0 < x < pi`

...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA|Exercise Solved Examples And Exercises|52 Videos
  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA|Exercise Solved Examples And Exercises|113 Videos

Similar Questions

Explore conceptually related problems

Show that none of the following functions has a local maximum or a local minimum: x^(3)+x^(2)+x+1 (ii) e^(x)

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=cosx, 0ltxltpi

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=sinx+cosx, 0 lt xlt(pi)/(2)

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=sin^(4)x+cos^(4)x,0ltxlt(pi)/(2).

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=-x+2sinx,0lexle2pi

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=x^(2)

Local maximum and local minimum and condition for it

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : g(x)=x^(3)−3x

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : The constant function alpha .

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=xsqrt(1-x), x gt0 .

RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
  1. Find the local maximum and local minimum values of f(x)=secx+logcos...

    Text Solution

    |

  2. Show that none of the following functions has a local maximum or a ...

    Text Solution

    |

  3. Show that none of the following functions has a local maximum or a ...

    Text Solution

    |

  4. Find the maximum profit that a company can make, if the profit func...

    Text Solution

    |

  5. At what points, the slope of the curve y=-x^3+3x^2+9x-27 at point (...

    Text Solution

    |

  6. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

    Text Solution

    |

  7. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  8. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,\ -1) , find the val...

    Text Solution

    |

  9. Show that the maximum value of (1/x)^x is e^(1//e) .

    Text Solution

    |

  10. Show that sin^p\ theta\ cos^q\ theta attains a maximum, when theta...

    Text Solution

    |

  11. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  12. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  13. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  14. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  15. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  16. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  17. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  18. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  19. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |

  20. Find the points of local maxima or minima and corresponding local m...

    Text Solution

    |