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