Explore BrainMass

Explore BrainMass

    Definition of Derivatives

    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!

    The process of working with the definition of the derivative is shown using the example f(x)=3x-6.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:39 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/definition-derivative-4355

    Solution Preview

    (see attached solution file)

    The main definition of the derivative is (some books may use instead of ) and our function is . We are going to replace both and in the definition with what they are equal to. We already know what is equal to, but we need to figure out . We do that by replacing every in our given function with and simplifying algebraically:

    Now we are ready ...

    Solution Summary

    The process of working with the definition of the derivative is shown.

    $2.49

    ADVERTISEMENT