Home
Class 12
MATHS
Find the local maxima and local minima, ...

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be:
g(x) `=(1)/(x^(2)+2)`

Text Solution

Verified by Experts

The correct Answer is:
local maximum at x = 0, local maximum value `= (1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.6|22 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: g(x) = x^(3)-3x

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: g(x ) =(x)/(2) +(2)/(x ) x gt 0

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = x^(3) - 6x^(2) +9x+15

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: h(x) = sin x+ cos x , 0 lt x lt (pi)/(2)

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = sin x - cos x , 0 lt x lt 2pi

Find all local maximum and local minima of the sine function.

Find all the points of (local) maxima and (local) minima of the function x^3-4x

Find all the points of (local) maxima and (local) minima of the function 1/(x^2+2)

NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the local maxima and local minima, if any, of the functions. Find...

    Text Solution

    |

  2. Find the local maxima and local minima, if any, of the functions. Find...

    Text Solution

    |

  3. Find the local maxima and local minima, if any, of the functions. Find...

    Text Solution

    |

  4. Find the local maxima and local minima, if any, of the following funct...

    Text Solution

    |

  5. Prove that the functions do not have maxima or minima: f(x) = e^(x)

    Text Solution

    |

  6. Prove that the functions do not have maxima or minima: g(x) = log ...

    Text Solution

    |

  7. Prove that the functions do not have maxima or minima: h(x) = x^(3)...

    Text Solution

    |

  8. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  9. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  10. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  11. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  12. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  13. Find both the maximum value and the minimum value of 3x^(4) – 8x^(3) +...

    Text Solution

    |

  14. At what points in the interval [0, 2pi], does the function sin 2x atta...

    Text Solution

    |

  15. What is the maximum value of the function sinx + cosx?

    Text Solution

    |

  16. Find the product of monomials 2z^(2),10x^(2)yz,9x^(2)

    Text Solution

    |

  17. It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attai...

    Text Solution

    |

  18. Find the maximum and minimum values of x + sin 2x on [0, 2pi].

    Text Solution

    |

  19. Find two numbers whose sum is 24 and whose product is as large as poss...

    Text Solution

    |

  20. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

    Text Solution

    |