Explore BrainMass

Explore BrainMass

    Minimum and maximum of a function that is not constrained

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    To find the minimum or maximum of a function that is not constrained, that is, there are no restrictions on range of the function, you take the derivative of the function, set it equal to zero, and solve for the variable. The intuition is that the derivative is the instantaneous slope of the function. A minimum or maximum occurs when the instantaneous slope equals 0.

    a) Using Excel, find the minimum, x*, of f(x) = x2 + 2. What is f(x*)? Calculate f(x) for x = -2 to 2 at 0.1 intervals. Plot f(x).

    b) Calculate the derivative of f(x), f'(x). Set it equal to zero and solve for x.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:37 pm ad1c9bdddf
    https://brainmass.com/business/derivatives/minimum-and-maximum-of-a-function-that-is-not-constrained-2843

    Attachments

    Solution Preview

    To use Excel for this question (part a), you need to set up two columns of data. The first column, label it X, is the value of x where you evaluate the expression. The second column, label it f(x) is where you find the functions value at the point X. Please see the attached excel spreadsheet for ...

    Solution Summary

    The solution clearly explains how to solve for the minimum and maximum plus the derivative of f(x). The commands in Excel at included, as well as a graph is easier understanding.

    $2.49

    ADVERTISEMENT