Home
Class 12
MATHS
Let f(x) = x^(2) -2|x| + 2, x in [-1//2,...

Let `f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2]` then

A

min `f(x) = 1//2 x in [-1//2, 3//2]`

B

min `f(x) =1 x in [-1//2, 3//2]`

C

max `f(x) = 3//2 x in [-1//2, 3//2]`

D

none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=[x]^(2)-[x^(2)], then

Let f(x)={x^(3)-1,x =2 Then

Let f(x) = 2 + 2x -3x^(2//3) " on " [-1, 10//3] . Then f has

Let f(x) = (x^2 - 4)/(x^2 + 4) , for |x| > 2 , then the function f: (-oo , -2] cup [2, oo) to (-1,1) is :

Let f(x)=[x]^(2)+[x+1]-3, then

Let f (x) =(x^(2) +x-1)/(x ^(2) - x+1), then the largest vlaue of f (x) AA x in [-1, 3] is:

Let f(x) = x^3 + x^2 + 100x + 7 sin x, then equation 1/( y - f(1)) + 2/(y - f(2)) + 3/(y - f(3)) = 0 has

Let f(x) = (x+2)^(2) - 4, x ge 2 . Let S = {x : f(x) =f^(-1)(x)} , Then S is equals to

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

    Text Solution

    |

  2. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

    Text Solution

    |

  3. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

    Text Solution

    |

  4. The function f(x)=|x-1|/x^2 is

    Text Solution

    |

  5. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |

  6. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

    Text Solution

    |

  7. Let f(x) = x^(2) + px +q. The value of(p, q) so that f(1) =3 is an ext...

    Text Solution

    |

  8. The number of inflection points of a function given by a third degree ...

    Text Solution

    |

  9. Let f(x) = 2 tan^(-1)x + "sin"^(-1) (2x)/(1 + x^(2)) then

    Text Solution

    |

  10. If the normal to the curve x^(3) = y^(2) at the point (m^(2), -m^(3)) ...

    Text Solution

    |

  11. Let f(x) =2 sin x + cos 2x (0 le x le 2pi) and g(x) = x + cos x then

    Text Solution

    |

  12. In the interval (0pi//2) the fucntion f(x)= tan^nxcot^n attains

    Text Solution

    |

  13. Find the number of points of local extrema of f(x)=3x^4-4x^3+6x^2+ax+b...

    Text Solution

    |

  14. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  15. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  16. If A gt 0 ,B gt 0 and A+B=pi/3,then the maximum value of tan A tan B ,...

    Text Solution

    |

  17. The maximum value of |x log x| for 0 lt x le 1 is

    Text Solution

    |

  18. The greatest value of the function log(x) 1//9 - log(3) x^(2) (x gt 1)...

    Text Solution

    |

  19. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  20. An extremum value of the function f(x) = (sin^-1 x)^3 + (cos^-1 x)^3 (...

    Text Solution

    |