Home
Class 12
MATHS
Find the maximum and the minimum value...

Find the maximum and the minimum values of `f(x)=x+1` for all `x in (-1,1)` , if any.

Text Solution

AI Generated Solution

To find the maximum and minimum values of the function \( f(x) = x + 1 \) for \( x \) in the interval \( (-1, 1) \), we will follow these steps: ### Step 1: Identify the function and the interval We have the function: \[ f(x) = x + 1 \] and we are looking for its values in the interval: ...
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

Find the maximum and minimum values of f(x)=(1-x)+|x|

Find the maximum and the minimum values of f(x)=|x+3| for all x in R, if any.

Find the maximum and the minimum values of f(x)=x^(3)+1 for all x in R, if any.

Find the maximum and the minimum values of f(x)=sin(sin x) for all x in R, if any.

Find maximum and minimum value; if any; for f(x)=-|x-1|+5 for all x in R

Find the maximum and the minimum values of f(x)=3x^(2)+6x+8,x in R, if any.

What are the maximum and minimum values, if any, of f(x)=x, x in (0, 1) ?

Find the maximum and minimum values of f(x)=sin x+(1)/(2)cos2x in [0,pi/2]

Find the maximum and minimum value of f(x)=sin x+(1)/(2)cos2x in [0,(pi)/(2)]

Find the maximum and minimum values of f(x)=2x^(3)-24x+107 in the interval [1,3]

RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
  1. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  2. Find the maximum and the minimum values of f(x)=3x^2+6x+8,\ \ x in ...

    Text Solution

    |

  3. Find the maximum and the minimum values of f(x)=x+1 for all x in (-...

    Text Solution

    |

  4. Find the maximum and the minimum values of f(x)=|sin4x+3|,\ \ x in (...

    Text Solution

    |

  5. Find the maximum and the minimum values of f(x)=x^3+1 for all x in ...

    Text Solution

    |

  6. Find the maximum and the minimum values of f(x)=sin(sinx) for all x...

    Text Solution

    |

  7. Find the maximum and the minimum values of f(x)=|x+3| for all x in ...

    Text Solution

    |

  8. Find the maximum and minimum values of f(x)=4x^2-4x+4 on R , if any...

    Text Solution

    |

  9. Find the maximum and minimum values of f(x)=-(x-1)^2+2 on R , if an...

    Text Solution

    |

  10. Find the maximum and minimum values of f(x)=|x+2| on R , if any, wi...

    Text Solution

    |

  11. Find the maximum and minimum values of f(x)=sin2x+5 on R , if any, ...

    Text Solution

    |

  12. Find the maximum and minimum values of f(x)=|sin4x+3| on R , if any...

    Text Solution

    |

  13. Find the maximum and minimum values of f(x)=2x^3+5 on R , if any, w...

    Text Solution

    |

  14. Find the maximum and minimum values of f(x)=-|x+1|+3 on R , if any,...

    Text Solution

    |

  15. Find the maximum and minimum values of f(x)=16 x^2-16 x+28 on R , i...

    Text Solution

    |

  16. Find the maximum and minimum values of f(x)=x^3-1 on R , if any, wi...

    Text Solution

    |

  17. Find all the points of local maxima and minima of the function f(x)=...

    Text Solution

    |

  18. Find all the points of local maxima and local minima as well as the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |