Home
Class 12
MATHS
The function f(x)=x^(2)-4x, x in [0,4] a...

The function f(x)=`x^(2)-4x, x in [0,4]` attains minimum value at

A

x=0

B

x=1

C

x=2

D

x=4

Text Solution

Verified by Experts

The correct Answer is:
C
Given function attains minimum at x=2
Promotional Banner

Topper's Solved these Questions

  • 3-D GEOMETRY

    NDA PREVIOUS YEARS|Exercise MCQ|147 Videos

  • BINOMIAL THEROREM, MATHEMATICAL INDUCTION

    NDA PREVIOUS YEARS|Exercise MQS|65 Videos

Similar Questions

Explore conceptually related problems

Function f(x)=x^(2)-3x+4 has minimum value at x = …………………….

Statement -1 The maximum value of f(x)=1/(3x^4+8x^3-18x^2+60) "is"1/(53) Statement -2 : The function g(x) = 1/(f(x)) attains its minimum value at x=1 and x=-3

The function a^(2)sec^(2)x+b^(2)cos ec^(2)x attains minimum value when

The function f(x)=x^(2)e^(x) has minimum value

Consider the function f(x)=(x^(2)-1)/(x^(2)+1), where x in R. At what value of x does f(x) attain minimum value? What is the minimum value of f(x)?

The Minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

NDA PREVIOUS YEARS-APPLICATION OF DERIVATIVES -Example
  1. The function f(x)=x^(3)-3x^(2)+6 is an increasing funciton for :

    Text Solution

    |

  2. What is the minimum value of |x|?

    Text Solution

    |

  3. The function f(x)=x^(2)-4x, x in [0,4] attains minimum value at

    Text Solution

    |

  4. The curve y =xe^(x) has minimum value equal to

    Text Solution

    |

  5. The maximum value of the function f(x)=x^(3)+2x^(2)-4x+6 exits at

    Text Solution

    |

  6. The minimum value of the function F(x)=|x-4| exists at

    Text Solution

    |

  7. What is the slope of the tangent to the curve y=sin^(1)(sin^(2)x)

    Text Solution

    |

  8. Consider the curve y=e^(2x) What is the slope of the tangent to the ...

    Text Solution

    |

  9. The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

    Text Solution

    |

  10. Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the maxim...

    Text Solution

    |

  11. Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the minim...

    Text Solution

    |

  12. A rectangular box is to be made form a sheet of 24 inch length and 9 ...

    Text Solution

    |

  13. A rectangular box is to be made form a sheet of 24 inch length and 9 ...

    Text Solution

    |

  14. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  15. A cylinder is inscribed in a sphere of radius r What is the radius o...

    Text Solution

    |

  16. Consider the following statements 1. y=(e^(x)+e^(-x))/(2) is an incr...

    Text Solution

    |

  17. Consider the function f(X)=(x^(2)-1)/(x^(2)+1) where x in R At what ...

    Text Solution

    |

  18. What is the minimum value of f(X)?

    Text Solution

    |

  19. Consider the function f(x)=0.75x^(4)-x^(3)-9x^(2)+7 What is the max...

    Text Solution

    |

  20. Consider the following value of the function ? 1 The functin attains...

    Text Solution

    |