Home
Class 12
MATHS
The absolute maximum value of the functi...

The absolute maximum value of the function `f(x) = 4x-(1)/(2)x^(2)` in the interval `[-2, (9)/(2)]` is

A

8

B

9

C

6

D

10

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 1 SET 1

    XII BOARDS PREVIOUS YEAR|Exercise SECTION-C|10 Videos
  • QUESTION PAPER 2022 TERM 1 SET 1

    XII BOARDS PREVIOUS YEAR|Exercise SECTION-C|10 Videos
  • EXAM REVISION SERIES

    XII BOARDS PREVIOUS YEAR|Exercise All Questions|34 Videos
  • QUESTION PAPER 2022 TERM 1 SET 2

    XII BOARDS PREVIOUS YEAR|Exercise SECTION C|10 Videos

Similar Questions

Explore conceptually related problems

Maximum value of the function f(x) =(x)/(8)+(2)/(x) on the interval [1,6] is

The mean value of the function f(x) = (1)/( x^2 + x) on the interval [1, 3//2] is

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

Find the absolute maximum of the function f(x)=x^3+3x^2-9x+7 in the interval [-4,2] .

the value of the function f(x)=(x^(2)-3x+2)/(x^(2)+x-6) lies in the interval.

Verify the mean value theorem for the function f(x)=x^(2) in the interval [2,4]

Verify mean value theorem for the function f(x)=x^(2)+4x-3 in the interval [-2,2]

The maximum value of the function f(x)=((1+x)^(0.6))/(1+x^(06)) in the interval [0,1] is 2^(0.4)(b)2^(-0.4)1(d)2^(0.6)

XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2022 TERM 1 SET 1-SECTION-B
  1. The function f(x)=2x^(3)-15x^(3)+36x+6 is increasing in the interval

    Text Solution

    |

  2. If x=2costheta-cos2thetaandy=2sintheta-sin2theta, then (dy)/(dx) is

    Text Solution

    |

  3. What is the domain of the function cos^(-1)(2x-3) ?

    Text Solution

    |

  4. A matrix A = [a(ij)](3xx3) is defined by a(ij)={(2i+3j" ,"iltj),(5" ...

    Text Solution

    |

  5. If a function f defined by f(x)={((kcosx)/(pi-2x)" , if " xnepi/2),(...

    Text Solution

    |

  6. For the matrix X = [(0,1,1),(1,0,1),(1,1,0)] , then find (X^2- X) is

    Text Solution

    |

  7. Let X = {x^2 : x in N} and the function f:N to X is defined by f(x) ...

    Text Solution

    |

  8. The corner points of the feasible region for a linear programming prob...

    Text Solution

    |

  9. The equation of the normal to the curve ay^2 = x^3 at the point (am^2 ...

    Text Solution

    |

  10. If A is a square matrix of order 3 and |A|=-5 then |adj A| is

    Text Solution

    |

  11. Write the simplest form : tan^(-1) (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x) + ...

    Text Solution

    |

  12. If for the matrix A =[(alpha,-2),(-2, alpha)],|A^3| = 125 , then the ...

    Text Solution

    |

  13. If y=sin(m sin^(-1)x). then which one of the following equations is tr...

    Text Solution

    |

  14. Write the principal value of tan^(-1)sqrt((3))-cot^(-1)-sqrt((3)) .

    Text Solution

    |

  15. The maximum value of (1/x)^(x) is

    Text Solution

    |

  16. Let matrix X = [x(ij)] is given by x= [(1,-1,2),(3,4,-5),(2,-1,3)]. Th...

    Text Solution

    |

  17. A function f : R rarr R defined by f(x) = 2 +x^2 is

    Text Solution

    |

  18. A Linear Programming Problem is as follows : Maximise / Minimise obj...

    Text Solution

    |

  19. If x=-4 is a root of |(x,2,3),(1,x,1),(3,2,x)|=0 , then the sum of t...

    Text Solution

    |

  20. The absolute maximum value of the function f(x) = 4x-(1)/(2)x^(2) in t...

    Text Solution

    |