Explore BrainMass

Explore BrainMass

    Absolute maximum and minimum

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the absolute maximum and absolute minimum values of f on the given interval.

    F(x) = sqrt(9-x^2) [-1, 2]

    or in other words:

    F(x) equals the square root of (9 minus x squared).

    The problem is also attached in MS word.

    © BrainMass Inc. brainmass.com June 3, 2020, 4:42 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/absolute-maximum-minimum-function-1784

    Attachments

    Solution Preview

    F(x) = sqrt(9-x^2) = (9-x^2)^(1/2)
    on the interval [-1,2];

    are standard notations for writing this equation out in text form. The ^ means exponent.

    Steps:
    To find the absolute max and min we have to:
    1) find all extreme (or critical points)
    2) check the end points.

    Calculate the first derivative.
    F'(x) = 1/2 (9 - x^2)^(-1/2) (-2x) = - x / sqrt(9-x^2)
    (remember to use the chain ...

    Solution Summary

    The solution shows how to find absolute maximum and minimum of a given function on a specified interval.

    $2.19

    ADVERTISEMENT