Home
Class 12
MATHS
Find the absolute extreme for f(x) = 1 -...

Find the absolute extreme for `f(x) = 1 - 2x - x^(2)` in (-4,1)`

Text Solution

Verified by Experts

The correct Answer is:
Absolute max = 2
Absolute min = -7
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Choose the correct answer)|40 Videos
  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

Find the absolute extreme of the function f(x) = 2 cos x in [0, 2pi]

Find the slope at x=-1 for f(x)=x^(2)-4x+4

Find the slope for f(x)=(x)/(1+x^(2)) at x=1

Find the slope for f(x)=(1)/(1+x^(2)) at x=1

Find the absolute maximum and absolute minimum values of the function f(x) = 2x^(3) - 3x^(2) + 2 "in " -(1)/(2) le x le 4

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = 4x -(1)/(2) x^(2) , x in [-2,(9)/(2)]

Find the absolute extrema of the following functions on the given closed interval. f(x)=3x^(4)-4x^(3),[-1,2]

Find the intervals of monotonicity and local extreme of the function f(x) = (1)/(1 + x^(2))

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Answer the following question)
  1. Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) 2x i...

    Text Solution

    |

  2. Expand f(x) = e^(3x) on a maclaurin's series

    Text Solution

    |

  3. Evaluate: underset(x rarr 2)(lim) (sin pi x)/(2 -x)

    Text Solution

    |

  4. Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))...

    Text Solution

    |

  5. Evaluate: underset(x rarr 0)(lim) x^(sin x)

    Text Solution

    |

  6. Prove , using mean value theorem, that |sin alpha -sin beta | le| alph...

    Text Solution

    |

  7. Expand f(x) = (1)/(x) about x =2 upto four terms

    Text Solution

    |

  8. Evaluate underset(theta rarr 0)(lim) (1- cos m theta)/(1- cos n theta)

    Text Solution

    |

  9. Evaluate: underset(xrarr0)lim xlog x

    Text Solution

    |

  10. Determine for which values of x the function y = (x-2)/(x + 1), x ne -...

    Text Solution

    |

  11. Discuss the monotonicity of f(x) = 2x^(3) - 15x^(2) + 36x + 1

    Text Solution

    |

  12. Find the critical number and stationary point f(x) = 2x - 3x^(2)

    Text Solution

    |

  13. Find the absolute extreme for f(x) = 1 - 2x - x^(2) in (-4,1)

    Text Solution

    |

  14. Find the local maximum and local minimum of f(x) = 2x^(3) + 5x^(2) - 4...

    Text Solution

    |

  15. Find the absolute extreme of the function f(x) = 2 cos x in [0, 2pi]

    Text Solution

    |

  16. Find the points of inflection of y = x^(4) - 6x^(2) + 8x -1

    Text Solution

    |

  17. Obtain Maclaurin's series for f(x) = log sec x

    Text Solution

    |

  18. Resistance to motion F of a moving vehicle is given by F = (5)/(x) + 1...

    Text Solution

    |

  19. Find the point on the parabola y^(2) = 2x that is closest to the point...

    Text Solution

    |

  20. Find the asymptotes of the function f(x) = (1)/(x + 1)

    Text Solution

    |