Home
Class 12
MATHS
The function f(x)=2|x|+|x+2|-||x+2|-2|x|...

The function `f(x)=2|x|+|x+2|-||x+2|-2|x||` has a local maximum at ……… and local minimum ………..

A

`-(2)/(3), -2`

B

`-(2)/(3),2`

C

`(2)/(3),-2`

D

`(2)/(3),2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=2x^(3)-3x^(2)-12x+4 , has …………

The function f(x)= (4-x^(2))/(4x-x^(3)) is

The local minimum value of (x)/(log x) is ……….

If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 , where a gt 0 , attains its maximum and minimum at p and q respectivelt such that p^(2)=q then a is ………..

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^(5)-5x^(4)+5x^(3)-1 . Also find the corresponding local maximum and local minimum values.

Range of the function f(x)= (x+2)/(|x+2|), x ne -2 is……

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: f(x) = x^(3) - 6x^(2) +9x+15

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

    Text Solution

    |

  2. A rectangle has one side on the positive side of Y - axis and one side...

    Text Solution

    |

  3. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… a...

    Text Solution

    |

  4. Equation of line passing through a point (1, 4) and the sum of the int...

    Text Solution

    |

  5. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

    Text Solution

    |

  6. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

    Text Solution

    |

  7. The approximate value of sin^(-1)(0.51) is ………..

    Text Solution

    |

  8. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

    Text Solution

    |

  9. If there is an error 4% in the area of circle, then the error in radiu...

    Text Solution

    |

  10. An iron ball having 10 cm radius is covered equally with Ice. Ice is m...

    Text Solution

    |

  11. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

    Text Solution

    |

  12. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

    Text Solution

    |

  13. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

    Text Solution

    |

  14. The tangent to the cureve xy+ax+by=0 at (1, 1) makes an angle with X -...

    Text Solution

    |

  15. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

    Text Solution

    |

  16. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |

  17. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

    Text Solution

    |

  18. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

    Text Solution

    |

  19. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

    Text Solution

    |

  20. The volume of a sphere is increasing at the rate of pi cm^(2)//sec. Th...

    Text Solution

    |