Home
Class 12
MATHS
The greatest value of f(x) =2x^2+2//x^2 ...

The greatest value of `f(x) =2x^2+2//x^2` for `-2le x lt 0,0 lt x le 2 and f(0)=1 ` is

A

`17//2`

B

1

C

0

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x le 2 is

If f(x)=x^(2)," for "xge0 =2x-5," for "x lt0 then range of f(x)=

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),( Sinx, 0le xle pi ):} where [.] denotes the greatest functions The exhaustive domain of g(f(x)) is

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),(Sinx 0le xle pi ):} where [.] denotes the greatest functions The range of g(f(x)) is

If f (x) = sin (2x ^(2) -2 [x]) for 0 lt x lt 1, then f ' ((sqrtpi)/(2))=

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),(Sinx 0le xle pi ):} where [.] denotes the greatest functions The number of integral points in the range of g(f(x)) is

Let f(x) be defined on [-2, 2] and be given by f(x)= {:{(-1,-2 le x le0),(x-1,0 lt 2 le 2):} and g(x)=f(|x|)+|f(x)| , Then find g(x)

If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x le 3):} , show that f(x) is increasing in [-1, 2]

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The maximum value of y=sin ^3 x cos x "at" pi//3 is

    Text Solution

    |

  2. The maximum value of a sin x+b cos x is

    Text Solution

    |

  3. The greatest value of f(x) =2x^2+2//x^2 for -2le x lt 0,0 lt x le 2 an...

    Text Solution

    |

  4. The least value of y=(a^2)/x+(b^2)/(1-x) on (0,1) is

    Text Solution

    |

  5. If y=overset(n)underset(i=1)sum(x-xi)^2,xi are constants, then y has m...

    Text Solution

    |

  6. x and y are two + ve numbers sucbs that xy=1 Then the minimum value of...

    Text Solution

    |

  7. If x,y = 12 then the minimum value of x^2+y^2 is

    Text Solution

    |

  8. The greatest value of sin^(3)x+cos^(3)x in [0,(pi)/(2)] is

    Text Solution

    |

  9. The greatest value of xe^(-x) is

    Text Solution

    |

  10. The absolute minimum of y= c cosh (x/c) is

    Text Solution

    |

  11. If a gt b, maximum value of a sin ^2x + b cos ^2 x is

    Text Solution

    |

  12. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

    Text Solution

    |

  13. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

    Text Solution

    |

  14. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

    Text Solution

    |

  15. The minimum value of sqrt((e^x"^2)-1) is

    Text Solution

    |

  16. The minimum value of px+qy when xy= r^2 is

    Text Solution

    |

  17. If f(x) =x-k/x has a maximum value at x=-2 , then k=

    Text Solution

    |

  18. If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then t...

    Text Solution

    |

  19. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

    Text Solution

    |

  20. The minimum value of (sin x)^(sin x) is

    Text Solution

    |