Home
Class 12
MATHS
Find the greatest and least values of...

Find the greatest and least values of function `f(x)={-x ,\ \ \ \ -1lt=x<0 2-(x-1)^2,\ \ \ \ \ \ 0lt=xlt=2`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and least values of function f(x)=3x^(4)-8x^(3)-18x^(2)+1

Find the greatest and least values of f(x)=x^(2)log x in [1,e]

Find the greatest and least values of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3,-1 le x le 1

Difference between the greatest and the least values of the function f(x)=x(In x-2) on [1,e^(2)] is

The difference between the greatest and the least values of the function f(x)=sin2x-x on [-(pi)/(2),(pi)/(2)]

The difference between the greatest and least values of the function f(x) = sin 2x - x on [-pi//2 , pi//2] is

Find the difference between the greatest and least values of the function f(x)=sin2x-x on [-(pi)/(2),(pi)/(2)]

Find the difference between the greatest and least values of the function f(x) =sin 2x-x" on "[-(pi)/(2), (pi)/(2)] .

Find the greatest and least values of f(x) =x^(2) -12x " "X in [-1,3] .

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Let f(x)=2x^3=9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  2. Find the greatest and least values of function f(x)=3x^4-8x^3-18 x^...

    Text Solution

    |

  3. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

    Text Solution

    |

  4. Find greatest and least values of f(x)=(a^2)/x+(b^2)/(1-x),\ x\ in...

    Text Solution

    |

  5. Find greatest and least values of f(x)=((a+x)(b+x))/((c+x)),\ x >-...

    Text Solution

    |

  6. Find greatest and least values of f(x)=x-sin2x+1/3sin3x ,\ x\ in [...

    Text Solution

    |

  7. Discuss the global maxima and global minima of f(x)=tan^(-1)(log)e x ...

    Text Solution

    |

  8. The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e...

    Text Solution

    |

  9. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

    Text Solution

    |

  10. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

    Text Solution

    |

  11. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

    Text Solution

    |

  12. A sheet of area 40m^2 is used to make an open tank with square base. F...

    Text Solution

    |

  13. A right circular cylinder of maximum volume is inscribed in a given ri...

    Text Solution

    |

  14. Show that semi-vertical angle of right circular cone of given surfa...

    Text Solution

    |

  15. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  16. Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...

    Text Solution

    |

  17. A rectangle is inscribed in an equilateral triangle of side length 2a ...

    Text Solution

    |

  18. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  19. f(x)=x^(1/5) at x=0 has inflection point. y"\ DdotNdotEdot\ at x=0

    Text Solution

    |

  20. f(x)=x^3a t\ x=0 has inflection point y ' '=0 at x=0 and change sign.

    Text Solution

    |